117657540 has 288 divisors, whose sum is σ = 479920896. Its totient is φ = 22533120.

The previous prime is 117657517. The next prime is 117657559. The reversal of 117657540 is 45756711.

117657540 is a `hidden beast` number, since 11 + 76 + 575 + 4 + 0 = 666.

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 = 117657495 and 117657504.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 653 × 315 × 572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179854 + ... + 180506.

It is an arithmetic number, because the mean of its divisors is an integer number (1666392).

Almost surely, 2^117657540 is an apocalyptic number.

117657540 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 117657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239960448).

117657540 is an abundant number, since it is smaller than the sum of its proper divisors (362263356).

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

117657540 is a wasteful number, since it uses less digits than its factorization.

117657540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

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

The square root of 117657540 is about 10847.0060385343. The cubic root of 117657540 is about 490.0118558842.

The spelling of 117657540 in words is "one hundred seventeen million, six hundred fifty-seven thousand, five hundred forty".