116049600 has 126 divisors (see below), whose sum is σ = 412518860. Its totient is φ = 30942720.

The previous prime is 116049589. The next prime is 116049617. The reversal of 116049600 is 6940611.

116049600 is a `hidden beast` number, since 1 + 16 + 0 + 49 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10371 + ... + 18429.

Almost surely, 2^116049600 is an apocalyptic number.

116049600 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 116049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206259430).

116049600 is an abundant number, since it is smaller than the sum of its proper divisors (296469260).

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

116049600 is a wasteful number, since it uses less digits than its factorization.

116049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116049600 is about 10772.6319903726. The cubic root of 116049600 is about 487.7693974519.

The spelling of 116049600 in words is "one hundred sixteen million, forty-nine thousand, six hundred".