117975040 has 96 divisors (see below), whose sum is σ = 291007080. Its totient is φ = 45875200.

The previous prime is 117975023. The next prime is 117975041. The reversal of 117975040 is 40579711.

It can be written as a sum of positive squares in 4 ways, for example, as 74097664 + 43877376 = 8608^2 + 6624^2 .

It is a super-2 number, since 2×117975040² = 27836220126003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117974987 and 117975005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117975041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419700 + ... + 419980.

Almost surely, 2^117975040 is an apocalyptic number.

117975040 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 117975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145503540).

117975040 is an abundant number, since it is smaller than the sum of its proper divisors (173032040).

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

117975040 is an equidigital number, since it uses as much as digits as its factorization.

117975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 117975040 is about 10861.6315533165. The cubic root of 117975040 is about 490.4522272367.

The spelling of 117975040 in words is "one hundred seventeen million, nine hundred seventy-five thousand, forty".