116026800 has 120 divisors (see below), whose sum is σ = 383784960. Its totient is φ = 29932800.

The previous prime is 116026793. The next prime is 116026811. The reversal of 116026800 is 8620611.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35641 + ... + 38759.

It is an arithmetic number, because the mean of its divisors is an integer number (3198208).

Almost surely, 2^116026800 is an apocalyptic number.

116026800 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 116026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191892480).

116026800 is an abundant number, since it is smaller than the sum of its proper divisors (267758160).

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

116026800 is a wasteful number, since it uses less digits than its factorization.

116026800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 116026800 is about 10771.5737011822. The cubic root of 116026800 is about 487.7374517130.

The spelling of 116026800 in words is "one hundred sixteen million, twenty-six thousand, eight hundred".