117579936 has 48 divisors (see below), whose sum is σ = 309887424. Its totient is φ = 39035904.

The previous prime is 117579929. The next prime is 117579937. The reversal of 117579936 is 639975711.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×117579936³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117579937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22920 + ... + 27576.

It is an arithmetic number, because the mean of its divisors is an integer number (6455988).

Almost surely, 2^117579936 is an apocalyptic number.

117579936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117579936 is an abundant number, since it is smaller than the sum of its proper divisors (192307488).

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

117579936 is a wasteful number, since it uses less digits than its factorization.

117579936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4925 counting only the distinct ones).

The product of its digits is 357210, while the sum is 48.

The square root of 117579936 is about 10843.4282401831. The cubic root of 117579936 is about 489.9040989605.

The spelling of 117579936 in words is "one hundred seventeen million, five hundred seventy-nine thousand, nine hundred thirty-six".