116400768 has 128 divisors (see below), whose sum is σ = 357359040. Its totient is φ = 33177600.

The previous prime is 116400727. The next prime is 116400787. The reversal of 116400768 is 867004611.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 70998 + ... + 72618.

Almost surely, 2^116400768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178679520).

116400768 is an abundant number, since it is smaller than the sum of its proper divisors (240958272).

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

116400768 is a wasteful number, since it uses less digits than its factorization.

116400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 116400768 is about 10788.9187595421. The cubic root of 116400768 is about 488.2609014272.

The spelling of 116400768 in words is "one hundred sixteen million, four hundred thousand, seven hundred sixty-eight".