117967920 has 320 divisors, whose sum is σ = 452542464. Its totient is φ = 24837120.

The previous prime is 117967909. The next prime is 117967921. The reversal of 117967920 is 29769711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117967921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1661485 + ... + 1661555.

Almost surely, 2^117967920 is an apocalyptic number.

117967920 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 117967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226271232).

117967920 is an abundant number, since it is smaller than the sum of its proper divisors (334574544).

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

117967920 is a wasteful number, since it uses less digits than its factorization.

117967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The square root of 117967920 is about 10861.3037891406. The cubic root of 117967920 is about 490.4423604883.

The spelling of 117967920 in words is "one hundred seventeen million, nine hundred sixty-seven thousand, nine hundred twenty".