1612924160 has 72 divisors (see below), whose sum is σ = 3884070120. Its totient is φ = 641728512.

The previous prime is 1612924129. The next prime is 1612924163. The reversal of 1612924160 is 614292161.

It can be written as a sum of positive squares in 4 ways, for example, as 5234944 + 1607689216 = 2288^2 + 40096^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1612924163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243776 + ... + 250304.

Almost surely, 2^1612924160 is an apocalyptic number.

1612924160 is a gapful number since it is divisible by the number (10) 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 1612924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942035060).

1612924160 is an abundant number, since it is smaller than the sum of its proper divisors (2271145960).

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

1612924160 is an equidigital number, since it uses as much as digits as its factorization.

1612924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1612924160 is about 40161.2270728871. The cubic root of 1612924160 is about 1172.7478598815.

The spelling of 1612924160 in words is "one billion, six hundred twelve million, nine hundred twenty-four thousand, one hundred sixty".