116938920 has 256 divisors, whose sum is σ = 447897600. Its totient is φ = 23777280.

The previous prime is 116938897. The next prime is 116938931. The reversal of 116938920 is 29839611.

It is a super-3 number, since 3×116938920³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 271105 + ... + 271535.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^116938920 is an apocalyptic number.

116938920 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 116938920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223948800).

116938920 is an abundant number, since it is smaller than the sum of its proper divisors (330958680).

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

116938920 is a wasteful number, since it uses less digits than its factorization.

116938920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 116938920 is about 10813.8300338039. The cubic root of 116938920 is about 489.0121985406.

The spelling of 116938920 in words is "one hundred sixteen million, nine hundred thirty-eight thousand, nine hundred twenty".