116720400 has 120 divisors (see below), whose sum is σ = 390242880. Its totient is φ = 29765120.

The previous prime is 116720393. The next prime is 116720407. The reversal of 116720400 is 4027611.

It is an interprime number because it is at equal distance from previous prime (116720393) and next prime (116720407).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (116720407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25486 + ... + 29714.

It is an arithmetic number, because the mean of its divisors is an integer number (3252024).

Almost surely, 2^116720400 is an apocalyptic number.

116720400 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 116720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195121440).

116720400 is an abundant number, since it is smaller than the sum of its proper divisors (273522480).

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

116720400 is a wasteful number, since it uses less digits than its factorization.

116720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 116720400 is about 10803.7215810109. The cubic root of 116720400 is about 488.7074081535.

The spelling of 116720400 in words is "one hundred sixteen million, seven hundred twenty thousand, four hundred".