116287600 has 240 divisors, whose sum is σ = 348727680. Its totient is φ = 36633600.

The previous prime is 116287597. The next prime is 116287607. The reversal of 116287600 is 6782611.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116287607) 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, 1086747 + ... + 1086853.

It is an arithmetic number, because the mean of its divisors is an integer number (1453032).

Almost surely, 2^116287600 is an apocalyptic number.

116287600 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 116287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

116287600 is an abundant number, since it is smaller than the sum of its proper divisors (232440080).

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

116287600 is a wasteful number, since it uses less digits than its factorization.

116287600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 116287600 is about 10783.6728437022. The cubic root of 116287600 is about 488.1026166000.

The spelling of 116287600 in words is "one hundred sixteen million, two hundred eighty-seven thousand, six hundred".