1610413812 has 240 divisors, whose sum is σ = 5038633600. Its totient is φ = 448084224.

The previous prime is 1610413801. The next prime is 1610413813. The reversal of 1610413812 is 2183140161.

It is a happy number.

1610413812 is a `hidden beast` number, since 1 + 610 + 4 + 1 + 38 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1610413813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4778508 + ... + 4778844.

Almost surely, 2^1610413812 is an apocalyptic number.

1610413812 is a gapful number since it is divisible by the number (12) 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 1610413812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519316800).

1610413812 is an abundant number, since it is smaller than the sum of its proper divisors (3428219788).

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

1610413812 is a wasteful number, since it uses less digits than its factorization.

1610413812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1610413812 is about 40129.9615250252. The cubic root of 1610413812 is about 1172.1391241073.

Adding to 1610413812 its reverse (2183140161), we get a palindrome (3793553973).

The spelling of 1610413812 in words is "one billion, six hundred ten million, four hundred thirteen thousand, eight hundred twelve".