117628960 has 24 divisors (see below), whose sum is σ = 277898796. Its totient is φ = 47051520.

The previous prime is 117628919. The next prime is 117628963. The reversal of 117628960 is 69826711.

It can be written as a sum of positive squares in 2 ways, for example, as 106419856 + 11209104 = 10316^2 + 3348^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (117628963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 367431 + ... + 367750.

Almost surely, 2^117628960 is an apocalyptic number.

117628960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117628960 is an abundant number, since it is smaller than the sum of its proper divisors (160269836).

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

117628960 is an equidigital number, since it uses as much as digits as its factorization.

117628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735196 (or 735188 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 117628960 is about 10845.6885443018. The cubic root of 117628960 is about 489.9721766792.

The spelling of 117628960 in words is "one hundred seventeen million, six hundred twenty-eight thousand, nine hundred sixty".