110479920 has 80 divisors (see below), whose sum is σ = 346882560. Its totient is φ = 29083392.

The previous prime is 110479903. The next prime is 110479969. The reversal of 110479920 is 29974011.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16047 + ... + 21873.

It is an arithmetic number, because the mean of its divisors is an integer number (4336032).

Almost surely, 2^110479920 is an apocalyptic number.

110479920 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 110479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173441280).

110479920 is an abundant number, since it is smaller than the sum of its proper divisors (236402640).

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

110479920 is a wasteful number, since it uses less digits than its factorization.

110479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 110479920 is about 10510.9428692197. The cubic root of 110479920 is about 479.8377924132.

The spelling of 110479920 in words is "one hundred ten million, four hundred seventy-nine thousand, nine hundred twenty".