117661440 has 144 divisors (see below), whose sum is σ = 404859168. Its totient is φ = 28950528.

The previous prime is 117661421. The next prime is 117661451. The reversal of 117661440 is 44166711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 117661398 and 117661407.

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 15 ways as a sum of consecutive naturals, for example, 48742 + ... + 51098.

It is an arithmetic number, because the mean of its divisors is an integer number (2811522).

Almost surely, 2^117661440 is an apocalyptic number.

117661440 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 117661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202429584).

117661440 is an abundant number, since it is smaller than the sum of its proper divisors (287197728).

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

117661440 is a wasteful number, since it uses less digits than its factorization.

117661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 117661440 is about 10847.1858101537. The cubic root of 117661440 is about 490.0172699730.

The spelling of 117661440 in words is "one hundred seventeen million, six hundred sixty-one thousand, four hundred forty".