110080656 has 90 divisors (see below), whose sum is σ = 358393542. Its totient is φ = 31449600.

The previous prime is 110080643. The next prime is 110080657. The reversal of 110080656 is 656080011.

110080656 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 8 + 0 + 656 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 1587600 = 10416^2 + 1260^2 .

It is not an unprimeable number, because it can be changed into a prime (110080657) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 745 + ... + 14856.

Almost surely, 2^110080656 is an apocalyptic number.

110080656 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 110080656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179196771).

110080656 is an abundant number, since it is smaller than the sum of its proper divisors (248312886).

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

110080656 is a wasteful number, since it uses less digits than its factorization.

110080656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15629 (or 15613 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 110080656 is about 10491.9329010435. The cubic root of 110080656 is about 479.2590652044.

The spelling of 110080656 in words is "one hundred ten million, eighty thousand, six hundred fifty-six".