118624960 has 112 divisors (see below), whose sum is σ = 298130976. Its totient is φ = 44900352.

The previous prime is 118624951. The next prime is 118624969. The reversal of 118624960 is 69426811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (118624951) and next prime (118624969).

It is a super-2 number, since 2×118624960² = 28143762270003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (118624969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509004 + ... + 509236.

Almost surely, 2^118624960 is an apocalyptic number.

118624960 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 118624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149065488).

118624960 is an abundant number, since it is smaller than the sum of its proper divisors (179506016).

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

118624960 is a wasteful number, since it uses less digits than its factorization.

118624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 118624960 is about 10891.5086191032. The cubic root of 118624960 is about 491.3512059827.

The spelling of 118624960 in words is "one hundred eighteen million, six hundred twenty-four thousand, nine hundred sixty".