110407680 has 156 divisors (see below), whose sum is σ = 383338800. Its totient is φ = 29392896.

The previous prime is 110407597. The next prime is 110407691. The reversal of 110407680 is 86704011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184021 + ... + 184619.

It is an arithmetic number, because the mean of its divisors is an integer number (2457300).

Almost surely, 2^110407680 is an apocalyptic number.

110407680 is a gapful number since it is divisible by the number (10) 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 110407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191669400).

110407680 is an abundant number, since it is smaller than the sum of its proper divisors (272931120).

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

110407680 is an equidigital number, since it uses as much as digits as its factorization.

110407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 110407680 is about 10507.5058886493. The cubic root of 110407680 is about 479.7331850479.

The spelling of 110407680 in words is "one hundred ten million, four hundred seven thousand, six hundred eighty".