117579648 has 64 divisors (see below), whose sum is σ = 314910720. Its totient is φ = 38868480.

The previous prime is 117579643. The next prime is 117579689. The reversal of 117579648 is 846975711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 117579597 and 117579606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117579643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47563 + ... + 49973.

It is an arithmetic number, because the mean of its divisors is an integer number (4920480).

Almost surely, 2^117579648 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 117579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157455360).

117579648 is an abundant number, since it is smaller than the sum of its proper divisors (197331072).

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

117579648 is a wasteful number, since it uses less digits than its factorization.

117579648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2543 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 117579648 is about 10843.4149602420. The cubic root of 117579648 is about 489.9036989703.

The spelling of 117579648 in words is "one hundred seventeen million, five hundred seventy-nine thousand, six hundred forty-eight".