116630880 has 96 divisors (see below), whose sum is σ = 389025504. Its totient is φ = 29270016.

The previous prime is 116630879. The next prime is 116630887. The reversal of 116630880 is 88036611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116630887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014 + ... + 15306.

It is an arithmetic number, because the mean of its divisors is an integer number (4052349).

Almost surely, 2^116630880 is an apocalyptic number.

116630880 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 116630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194512752).

116630880 is an abundant number, since it is smaller than the sum of its proper divisors (272394624).

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

116630880 is a wasteful number, since it uses less digits than its factorization.

116630880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14320 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 116630880 is about 10799.5777695241. The cubic root of 116630880 is about 488.5824363503.

The spelling of 116630880 in words is "one hundred sixteen million, six hundred thirty thousand, eight hundred eighty".