116864384 has 128 divisors (see below), whose sum is σ = 292454400. Its totient is φ = 45287424.

The previous prime is 116864353. The next prime is 116864393. The reversal of 116864384 is 483468611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920129 + ... + 920255.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 2^116864384 is an apocalyptic number.

116864384 is a gapful number since it is divisible by the number (14) 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 116864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146227200).

116864384 is an abundant number, since it is smaller than the sum of its proper divisors (175590016).

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

116864384 is a wasteful number, since it uses less digits than its factorization.

116864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 116864384 is about 10810.3831569468. The cubic root of 116864384 is about 488.9082788759.

The spelling of 116864384 in words is "one hundred sixteen million, eight hundred sixty-four thousand, three hundred eighty-four".