1612108656 has 240 divisors, whose sum is σ = 4992041600. Its totient is φ = 502205184.

The previous prime is 1612108639. The next prime is 1612108703. The reversal of 1612108656 is 6568012161.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1612108656.

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 47 ways as a sum of consecutive naturals, for example, 10268130 + ... + 10268286.

Almost surely, 2^1612108656 is an apocalyptic number.

1612108656 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 1612108656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496020800).

1612108656 is an abundant number, since it is smaller than the sum of its proper divisors (3379932944).

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

1612108656 is a wasteful number, since it uses less digits than its factorization.

1612108656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1612108656 is about 40151.0729121900. The cubic root of 1612108656 is about 1172.5501771420.

The spelling of 1612108656 in words is "one billion, six hundred twelve million, one hundred eight thousand, six hundred fifty-six".