117977640 has 128 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 28350720.

The previous prime is 117977633. The next prime is 117977653. The reversal of 117977640 is 46779711.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 117977592 and 117977601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183159 + ... + 183801.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^117977640 is an apocalyptic number.

117977640 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 117977640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

117977640 is an abundant number, since it is smaller than the sum of its proper divisors (271513560).

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

117977640 is a wasteful number, since it uses less digits than its factorization.

117977640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The square root of 117977640 is about 10861.7512400165. The cubic root of 117977640 is about 490.4558301638.

The spelling of 117977640 in words is "one hundred seventeen million, nine hundred seventy-seven thousand, six hundred forty".