117020400 has 120 divisors (see below), whose sum is σ = 428436864. Its totient is φ = 26745600.

The previous prime is 117020399. The next prime is 117020413. The reversal of 117020400 is 4020711.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 117020400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435 + ... + 15365.

Almost surely, 2^117020400 is an apocalyptic number.

117020400 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 117020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214218432).

117020400 is an abundant number, since it is smaller than the sum of its proper divisors (311416464).

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

117020400 is a wasteful number, since it uses less digits than its factorization.

117020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13959 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 117020400 is about 10817.5967756244. The cubic root of 117020400 is about 489.1257491682.

The spelling of 117020400 in words is "one hundred seventeen million, twenty thousand, four hundred".