117663840 has 240 divisors, whose sum is σ = 474943392. Its totient is φ = 26873856.

The previous prime is 117663829. The next prime is 117663841. The reversal of 117663840 is 48366711.

117663840 is a `hidden beast` number, since 1 + 17 + 6 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×117663840³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 117663795 and 117663804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117663841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90072 + ... + 91368.

Almost surely, 2^117663840 is an apocalyptic number.

117663840 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 117663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237471696).

117663840 is an abundant number, since it is smaller than the sum of its proper divisors (357279552).

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

117663840 is a wasteful number, since it uses less digits than its factorization.

117663840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 117663840 is about 10847.2964373617. The cubic root of 117663840 is about 490.0206016605.

The spelling of 117663840 in words is "one hundred seventeen million, six hundred sixty-three thousand, eight hundred forty".