117677120 has 112 divisors (see below), whose sum is σ = 309652416. Its totient is φ = 42240000.

The previous prime is 117677117. The next prime is 117677123. The reversal of 117677120 is 21776711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117677117) and next prime (117677123).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (117677123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355355 + ... + 355685.

Almost surely, 2^117677120 is an apocalyptic number.

117677120 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 117677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154826208).

117677120 is an abundant number, since it is smaller than the sum of its proper divisors (191975296).

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

117677120 is a wasteful number, since it uses less digits than its factorization.

117677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 32.

The square root of 117677120 is about 10847.9085541868. The cubic root of 117677120 is about 490.0390361793.

The spelling of 117677120 in words is "one hundred seventeen million, six hundred seventy-seven thousand, one hundred twenty".