116887680 has 384 divisors, whose sum is σ = 499000320. Its totient is φ = 24551424.

The previous prime is 116887657. The next prime is 116887723. The reversal of 116887680 is 86788611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 524049 + ... + 524271.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^116887680 is an apocalyptic number.

116887680 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 116887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

116887680 is an abundant number, since it is smaller than the sum of its proper divisors (382112640).

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

116887680 is a wasteful number, since it uses less digits than its factorization.

116887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 116887680 is about 10811.4605858783. The cubic root of 116887680 is about 488.9407633967.

The spelling of 116887680 in words is "one hundred sixteen million, eight hundred eighty-seven thousand, six hundred eighty".