1612908672 has 256 divisors, whose sum is σ = 4756561920. Its totient is φ = 482549760.

The previous prime is 1612908653. The next prime is 1612908697. The reversal of 1612908672 is 2768092161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11772988 + ... + 11773124.

It is an arithmetic number, because the mean of its divisors is an integer number (18580320).

Almost surely, 2^1612908672 is an apocalyptic number.

1612908672 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 1612908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378280960).

1612908672 is an abundant number, since it is smaller than the sum of its proper divisors (3143653248).

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

1612908672 is a wasteful number, since it uses less digits than its factorization.

1612908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1612908672 is about 40161.0342496306. The cubic root of 1612908672 is about 1172.7441061244.

The spelling of 1612908672 in words is "one billion, six hundred twelve million, nine hundred eight thousand, six hundred seventy-two".