117577656 has 240 divisors, whose sum is σ = 401478000. Its totient is φ = 32133024.

The previous prime is 117577651. The next prime is 117577657. The reversal of 117577656 is 656775711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

117577656 is a `hidden beast` number, since 1 + 17 + 577 + 65 + 6 = 666.

Its product of digits (308700) is a multiple of the sum of its prime divisors (35).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117577651) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5112061 + ... + 5112083.

It is an arithmetic number, because the mean of its divisors is an integer number (1672825).

Almost surely, 2^117577656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117577656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200739000).

117577656 is an abundant number, since it is smaller than the sum of its proper divisors (283900344).

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

117577656 is an equidigital number, since it uses as much as digits as its factorization.

117577656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 35 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The square root of 117577656 is about 10843.3231068709. The cubic root of 117577656 is about 489.9009323529.

The spelling of 117577656 in words is "one hundred seventeen million, five hundred seventy-seven thousand, six hundred fifty-six".