116265600 has 288 divisors, whose sum is σ = 453810240. Its totient is φ = 28108800.

The previous prime is 116265599. The next prime is 116265619. The reversal of 116265600 is 6562611.

It is a happy number.

116265600 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 656 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316617 + ... + 316983.

It is an arithmetic number, because the mean of its divisors is an integer number (1575730).

Almost surely, 2^116265600 is an apocalyptic number.

116265600 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 116265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226905120).

116265600 is an abundant number, since it is smaller than the sum of its proper divisors (337544640).

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

116265600 is a wasteful number, since it uses less digits than its factorization.

116265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 116265600 is about 10782.6527348329. The cubic root of 116265600 is about 488.0718339117.

The spelling of 116265600 in words is "one hundred sixteen million, two hundred sixty-five thousand, six hundred".