117538560 has 288 divisors, whose sum is σ = 441504000. Its totient is φ = 29528064.

The previous prime is 117538543. The next prime is 117538567. The reversal of 117538560 is 65835711.

117538560 is a `hidden beast` number, since 117 + 538 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117538567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656551 + ... + 656729.

It is an arithmetic number, because the mean of its divisors is an integer number (1533000).

Almost surely, 2^117538560 is an apocalyptic number.

117538560 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 117538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220752000).

117538560 is an abundant number, since it is smaller than the sum of its proper divisors (323965440).

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

117538560 is a wasteful number, since it uses less digits than its factorization.

117538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 117538560 is about 10841.5201886082. The cubic root of 117538560 is about 489.8466269948.

The spelling of 117538560 in words is "one hundred seventeen million, five hundred thirty-eight thousand, five hundred sixty".