116364864 has 224 divisors, whose sum is σ = 407310336. Its totient is φ = 28385280.

The previous prime is 116364851. The next prime is 116364869. The reversal of 116364864 is 468463611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116364869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251097 + ... + 251559.

Almost surely, 2^116364864 is an apocalyptic number.

116364864 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 116364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203655168).

116364864 is an abundant number, since it is smaller than the sum of its proper divisors (290945472).

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

116364864 is a wasteful number, since it uses less digits than its factorization.

116364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 116364864 is about 10787.2547017302. The cubic root of 116364864 is about 488.2106946503.

The spelling of 116364864 in words is "one hundred sixteen million, three hundred sixty-four thousand, eight hundred sixty-four".