117552240 has 240 divisors, whose sum is σ = 448200480. Its totient is φ = 27371520.

The previous prime is 117552223. The next prime is 117552269. The reversal of 117552240 is 42255711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177510 + ... + 178170.

It is an arithmetic number, because the mean of its divisors is an integer number (1867502).

Almost surely, 2^117552240 is an apocalyptic number.

117552240 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 117552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224100240).

117552240 is an abundant number, since it is smaller than the sum of its proper divisors (330648240).

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

117552240 is a wasteful number, since it uses less digits than its factorization.

117552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 117552240 is about 10842.1510780841. The cubic root of 117552240 is about 489.8656302391.

The spelling of 117552240 in words is "one hundred seventeen million, five hundred fifty-two thousand, two hundred forty".