117754560 has 560 divisors, whose sum is σ = 531083520. Its totient is φ = 24053760.

The previous prime is 117754543. The next prime is 117754591. The reversal of 117754560 is 65457711.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×117754560² = 27732272801587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995811 + ... + 1995869.

Almost surely, 2^117754560 is an apocalyptic number.

117754560 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 117754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265541760).

117754560 is an abundant number, since it is smaller than the sum of its proper divisors (413328960).

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

117754560 is a wasteful number, since it uses less digits than its factorization.

117754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 117754560 is about 10851.4773187801. The cubic root of 117754560 is about 490.1465062400.

The spelling of 117754560 in words is "one hundred seventeen million, seven hundred fifty-four thousand, five hundred sixty".