116624400 has 60 divisors (see below), whose sum is σ = 373590672. Its totient is φ = 31099520.

The previous prime is 116624393. The next prime is 116624411. The reversal of 116624400 is 4426611.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×116624400⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 47394 + ... + 49793.

Almost surely, 2^116624400 is an apocalyptic number.

116624400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116624400 is an abundant number, since it is smaller than the sum of its proper divisors (256966272).

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

116624400 is a wasteful number, since it uses less digits than its factorization.

116624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97208 (or 97197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 116624400 is about 10799.2777536278. The cubic root of 116624400 is about 488.5733876523.

The spelling of 116624400 in words is "one hundred sixteen million, six hundred twenty-four thousand, four hundred".