110496960 has 504 divisors, whose sum is σ = 474299280. Its totient is φ = 24385536.

The previous prime is 110496943. The next prime is 110496983. The reversal of 110496960 is 69694011.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810226 + ... + 3810254.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 2^110496960 is an apocalyptic number.

110496960 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 110496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640).

110496960 is an abundant number, since it is smaller than the sum of its proper divisors (363802320).

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

110496960 is an equidigital number, since it uses as much as digits as its factorization.

110496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 110496960 is about 10511.7534217656. The cubic root of 110496960 is about 479.8624605932.

The spelling of 110496960 in words is "one hundred ten million, four hundred ninety-six thousand, nine hundred sixty".