116582400 has 432 divisors, whose sum is σ = 475282080. Its totient is φ = 27033600.

The previous prime is 116582383. The next prime is 116582467. The reversal of 116582400 is 4285611.

116582400 is a `hidden beast` number, since 1 + 1 + 658 + 2 + 4 + 0 + 0 = 666.

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, 5068789 + ... + 5068811.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190).

Almost surely, 2^116582400 is an apocalyptic number.

116582400 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 116582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).

116582400 is an abundant number, since it is smaller than the sum of its proper divisors (358699680).

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

116582400 is a wasteful number, since it uses less digits than its factorization.

116582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116582400 is about 10797.3330040339. Note that the first 3 decimals coincide. The cubic root of 116582400 is about 488.5147305558.

The spelling of 116582400 in words is "one hundred sixteen million, five hundred eighty-two thousand, four hundred".