116485600 has 288 divisors, whose sum is σ = 371976192. Its totient is φ = 34560000.

The previous prime is 116485591. The next prime is 116485601. The reversal of 116485600 is 6584611.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116485601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909570 + ... + 1909630.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^116485600 is an apocalyptic number.

116485600 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 116485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

116485600 is an abundant number, since it is smaller than the sum of its proper divisors (255490592).

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

116485600 is a wasteful number, since it uses less digits than its factorization.

116485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 116485600 is about 10792.8494847283. The cubic root of 116485600 is about 488.3794862422.

The spelling of 116485600 in words is "one hundred sixteen million, four hundred eighty-five thousand, six hundred".