117664890 has 96 divisors (see below), whose sum is σ = 336286080. Its totient is φ = 25780608.

The previous prime is 117664879. The next prime is 117664901. The reversal of 117664890 is 98466711.

It is an interprime number because it is at equal distance from previous prime (117664879) and next prime (117664901).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846441 + ... + 846579.

It is an arithmetic number, because the mean of its divisors is an integer number (3502980).

Almost surely, 2^117664890 is an apocalyptic number.

117664890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117664890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168143040).

117664890 is an abundant number, since it is smaller than the sum of its proper divisors (218621190).

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

117664890 is a wasteful number, since it uses less digits than its factorization.

117664890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 117664890 is about 10847.3448364104. The cubic root of 117664890 is about 490.0220592596.

It can be divided in two parts, 1176 and 64890, that added together give a palindrome (66066).

The spelling of 117664890 in words is "one hundred seventeen million, six hundred sixty-four thousand, eight hundred ninety".