117630400 has 84 divisors (see below), whose sum is σ = 297416728. Its totient is φ = 45757440.

The previous prime is 117630391. The next prime is 117630419. The reversal of 117630400 is 4036711.

It is a super-2 number, since 2×117630400² = 27673822008320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58207 + ... + 60193.

Almost surely, 2^117630400 is an apocalyptic number.

117630400 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 117630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148708364).

117630400 is an abundant number, since it is smaller than the sum of its proper divisors (179786328).

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

117630400 is a wasteful number, since it uses less digits than its factorization.

117630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 117630400 is about 10845.7549299253. The cubic root of 117630400 is about 489.9741760651.

The spelling of 117630400 in words is "one hundred seventeen million, six hundred thirty thousand, four hundred".