116815800 has 96 divisors (see below), whose sum is σ = 381225600. Its totient is φ = 29508480.

The previous prime is 116815757. The next prime is 116815807. The reversal of 116815800 is 8518611.

It is a happy number.

It is a super-2 number, since 2×116815800² = 27291862259280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116815807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6277 + ... + 16523.

It is an arithmetic number, because the mean of its divisors is an integer number (3971100).

Almost surely, 2^116815800 is an apocalyptic number.

116815800 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 116815800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190612800).

116815800 is an abundant number, since it is smaller than the sum of its proper divisors (264409800).

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

116815800 is a wasteful number, since it uses less digits than its factorization.

116815800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 116815800 is about 10808.1358244611. The cubic root of 116815800 is about 488.8405182477.

The spelling of 116815800 in words is "one hundred sixteen million, eight hundred fifteen thousand, eight hundred".