117575640 has 384 divisors, whose sum is σ = 487992960. Its totient is φ = 23887872.

The previous prime is 117575611. The next prime is 117575651. The reversal of 117575640 is 46575711.

117575640 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 7 + 5 + 640 = 666.

It is a super-2 number, since 2×117575640² = 27648062242819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117575595 and 117575604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1212072 + ... + 1212168.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 2^117575640 is an apocalyptic number.

117575640 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 117575640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243996480).

117575640 is an abundant number, since it is smaller than the sum of its proper divisors (370417320).

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

117575640 is a wasteful number, since it uses less digits than its factorization.

117575640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 117575640 is about 10843.2301460404. The cubic root of 117575640 is about 489.8981323710.

The spelling of 117575640 in words is "one hundred seventeen million, five hundred seventy-five thousand, six hundred forty".