110459840 has 56 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 42656768.

The previous prime is 110459821. The next prime is 110459887. The reversal of 110459840 is 48954011.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 110459797 and 110459806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3329 + ... + 15231.

Almost surely, 2^110459840 is an apocalyptic number.

110459840 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 110459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

110459840 is an abundant number, since it is smaller than the sum of its proper divisors (161665600).

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

110459840 is a wasteful number, since it uses less digits than its factorization.

110459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 110459840 is about 10509.9876308205. The cubic root of 110459840 is about 479.8087200814.

The spelling of 110459840 in words is "one hundred ten million, four hundred fifty-nine thousand, eight hundred forty".