116338800 has 120 divisors (see below), whose sum is σ = 378495616. Its totient is φ = 30539520.

The previous prime is 116338787. The next prime is 116338813. The reversal of 116338800 is 8833611.

It is an interprime number because it is at equal distance from previous prime (116338787) and next prime (116338813).

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 (30).

It is a congruent number.

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, 79677 + ... + 81123.

Almost surely, 2^116338800 is an apocalyptic number.

116338800 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 116338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189247808).

116338800 is an abundant number, since it is smaller than the sum of its proper divisors (262156816).

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

116338800 is a wasteful number, since it uses less digits than its factorization.

116338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 116338800 is about 10786.0465417130. The cubic root of 116338800 is about 488.1742412821.

The spelling of 116338800 in words is "one hundred sixteen million, three hundred thirty-eight thousand, eight hundred".