1617616656 has 100 divisors (see below), whose sum is σ = 4790897232. Its totient is φ = 526647744.

The previous prime is 1617616633. The next prime is 1617616681. The reversal of 1617616656 is 6566167161.

1617616656 is a `hidden beast` number, since 16 + 17 + 616 + 6 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41215 + ... + 70241.

Almost surely, 2^1617616656 is an apocalyptic number.

1617616656 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 1617616656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395448616).

1617616656 is an abundant number, since it is smaller than the sum of its proper divisors (3173280576).

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

1617616656 is a wasteful number, since it uses less digits than its factorization.

1617616656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29090 (or 29075 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1617616656 is about 40219.6053685264. The cubic root of 1617616656 is about 1173.8840543437.

The spelling of 1617616656 in words is "one billion, six hundred seventeen million, six hundred sixteen thousand, six hundred fifty-six".