116553600 has 384 divisors, whose sum is σ = 455328000. Its totient is φ = 29030400.

The previous prime is 116553587. The next prime is 116553617. The reversal of 116553600 is 6355611.

It is a happy number.

116553600 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641565 + ... + 1641635.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^116553600 is an apocalyptic number.

116553600 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 116553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227664000).

116553600 is an abundant number, since it is smaller than the sum of its proper divisors (338774400).

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

116553600 is a wasteful number, since it uses less digits than its factorization.

116553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 116553600 is about 10795.9992589848. Note that the first 3 decimals coincide. The cubic root of 116553600 is about 488.4745004040.

The spelling of 116553600 in words is "one hundred sixteen million, five hundred fifty-three thousand, six hundred".