1612657872 has 120 divisors (see below), whose sum is σ = 5187029120. Its totient is φ = 458161920.

The previous prime is 1612657867. The next prime is 1612657901. The reversal of 1612657872 is 2787562161.

1612657872 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 6 + 578 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178029 + ... + 186867.

Almost surely, 2^1612657872 is an apocalyptic number.

1612657872 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 1612657872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593514560).

1612657872 is an abundant number, since it is smaller than the sum of its proper divisors (3574371248).

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

1612657872 is a wasteful number, since it uses less digits than its factorization.

1612657872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041 (or 9032 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 1612657872 is about 40157.9116986927. The cubic root of 1612657872 is about 1172.6833175062.

The spelling of 1612657872 in words is "one billion, six hundred twelve million, six hundred fifty-seven thousand, eight hundred seventy-two".