116739200 has 72 divisors (see below), whose sum is σ = 289900065. Its totient is φ = 46451200.

The previous prime is 116739199. The next prime is 116739223. The reversal of 116739200 is 2937611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 114404416 + 2334784 = 10696^2 + 1528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7640.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 611105 + ... + 611295.

Almost surely, 2^116739200 is an apocalyptic number.

116739200 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 116739200

116739200 is an abundant number, since it is smaller than the sum of its proper divisors (173160865).

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

116739200 is an frugal number, since it uses more digits than its factorization.

116739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 116739200 is about 10804.5916165304. The cubic root of 116739200 is about 488.7336452295.

The spelling of 116739200 in words is "one hundred sixteen million, seven hundred thirty-nine thousand, two hundred".