116161920 has 384 divisors, whose sum is σ = 476087040. Its totient is φ = 25546752.

The previous prime is 116161909. The next prime is 116161931. The reversal of 116161920 is 29161611.

116161920 is a `hidden beast` number, since 11 + 616 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (116161909) and next prime (116161931).

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

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, 1733727 + ... + 1733793.

It is an arithmetic number, because the mean of its divisors is an integer number (1239810).

Almost surely, 2^116161920 is an apocalyptic number.

116161920 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 116161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238043520).

116161920 is an abundant number, since it is smaller than the sum of its proper divisors (359925120).

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

116161920 is a wasteful number, since it uses less digits than its factorization.

116161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 116161920 is about 10777.8439402322. The cubic root of 116161920 is about 487.9267112012.

The spelling of 116161920 in words is "one hundred sixteen million, one hundred sixty-one thousand, nine hundred twenty".