116788320 has 288 divisors, whose sum is σ = 445090464. Its totient is φ = 27648000.

The previous prime is 116788297. The next prime is 116788339. The reversal of 116788320 is 23887611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1156270 + ... + 1156370.

It is an arithmetic number, because the mean of its divisors is an integer number (1545453).

Almost surely, 2^116788320 is an apocalyptic number.

116788320 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 116788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222545232).

116788320 is an abundant number, since it is smaller than the sum of its proper divisors (328302144).

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

116788320 is a wasteful number, since it uses less digits than its factorization.

116788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 116788320 is about 10806.8644851317. The cubic root of 116788320 is about 488.8021832767.

The spelling of 116788320 in words is "one hundred sixteen million, seven hundred eighty-eight thousand, three hundred twenty".