117599040 has 280 divisors, whose sum is σ = 451789800. Its totient is φ = 28864512.

The previous prime is 117599011. The next prime is 117599051. The reversal of 117599040 is 40995711.

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 110502144 = 2664^2 + 10512^2 .

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 = 117598986 and 117599004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336786 + ... + 337134.

It is an arithmetic number, because the mean of its divisors is an integer number (1613535).

Almost surely, 2^117599040 is an apocalyptic number.

117599040 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 117599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225894900).

117599040 is an abundant number, since it is smaller than the sum of its proper divisors (334190760).

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

117599040 is a wasteful number, since it uses less digits than its factorization.

117599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 117599040 is about 10844.3091066236. The cubic root of 117599040 is about 489.9306301908.

The spelling of 117599040 in words is "one hundred seventeen million, five hundred ninety-nine thousand, forty".