1610145216 has 98 divisors (see below), whose sum is σ = 4790645232. Its totient is φ = 536699520.

The previous prime is 1610145209. The next prime is 1610145217. The reversal of 1610145216 is 6125410161.

1610145216 is a `hidden beast` number, since 1 + 610 + 1 + 45 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1610145216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1610145217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 29401 + ... + 63911.

Almost surely, 2^1610145216 is an apocalyptic number.

1610145216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395322616).

1610145216 is an abundant number, since it is smaller than the sum of its proper divisors (3180500016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1610145216 is an frugal number, since it uses more digits than its factorization.

1610145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34541 (or 34516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1610145216 is about 40126.6148086280. The cubic root of 1610145216 is about 1172.0739546494.

Adding to 1610145216 its reverse (6125410161), we get a palindrome (7735555377).

It can be divided in two parts, 1610145 and 216, that added together give a square (1610361 = 1269²).

The spelling of 1610145216 in words is "one billion, six hundred ten million, one hundred forty-five thousand, two hundred sixteen".