116341920 has 240 divisors, whose sum is σ = 421521408. Its totient is φ = 30205440.

The previous prime is 116341909. The next prime is 116341987. The reversal of 116341920 is 29143611.

116341920 is a `hidden beast` number, since 1 + 1 + 634 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 609025 + ... + 609215.

Almost surely, 2^116341920 is an apocalyptic number.

116341920 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 116341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

116341920 is an abundant number, since it is smaller than the sum of its proper divisors (305179488).

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

116341920 is a wasteful number, since it uses less digits than its factorization.

116341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116341920 is about 10786.1911720496. The cubic root of 116341920 is about 488.1786052318.

The spelling of 116341920 in words is "one hundred sixteen million, three hundred forty-one thousand, nine hundred twenty".