116867520 has 672 divisors, whose sum is σ = 547762176. Its totient is φ = 22118400.

The previous prime is 116867501. The next prime is 116867557. The reversal of 116867520 is 25768611.

116867520 is a `hidden beast` number, since 11 + 68 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769905 + ... + 3769935.

Almost surely, 2^116867520 is an apocalyptic number.

116867520 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 116867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273881088).

116867520 is an abundant number, since it is smaller than the sum of its proper divisors (430894656).

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

116867520 is a wasteful number, since it uses less digits than its factorization.

116867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 116867520 is about 10810.5282017115. The cubic root of 116867520 is about 488.9126520436.

The spelling of 116867520 in words is "one hundred sixteen million, eight hundred sixty-seven thousand, five hundred twenty".