117579840 has 112 divisors (see below), whose sum is σ = 426671232. Its totient is φ = 26873856.

The previous prime is 117579829. The next prime is 117579863. The reversal of 117579840 is 48975711.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 117579792 and 117579801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029 + ... + 15468.

Almost surely, 2^117579840 is an apocalyptic number.

117579840 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 117579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213335616).

117579840 is an abundant number, since it is smaller than the sum of its proper divisors (309091392).

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

117579840 is a wasteful number, since it uses less digits than its factorization.

117579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17524 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 117579840 is about 10843.4238135379. The cubic root of 117579840 is about 489.9039656305.

The spelling of 117579840 in words is "one hundred seventeen million, five hundred seventy-nine thousand, eight hundred forty".