110684640 has 96 divisors (see below), whose sum is σ = 380370816. Its totient is φ = 26831360.

The previous prime is 110684627. The next prime is 110684641. The reversal of 110684640 is 46486011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 110684598 and 110684607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110684641) 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 15 ways as a sum of consecutive naturals, for example, 5202 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (3962196).

Almost surely, 2^110684640 is an apocalyptic number.

110684640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110684640 is an abundant number, since it is smaller than the sum of its proper divisors (269686176).

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

110684640 is a wasteful number, since it uses less digits than its factorization.

110684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20992 (or 20984 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 110684640 is about 10520.6767843138. The cubic root of 110684640 is about 480.1339903713.

The spelling of 110684640 in words is "one hundred ten million, six hundred eighty-four thousand, six hundred forty".