116617600 has 96 divisors (see below), whose sum is σ = 314366040. Its totient is φ = 42393600.

The previous prime is 116617597. The next prime is 116617609. The reversal of 116617600 is 6716611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116617609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33544 + ... + 36856.

Almost surely, 2^116617600 is an apocalyptic number.

116617600 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 116617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157183020).

116617600 is an abundant number, since it is smaller than the sum of its proper divisors (197748440).

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

116617600 is a wasteful number, since it uses less digits than its factorization.

116617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 116617600 is about 10798.9629131690. The cubic root of 116617600 is about 488.5638917446.

It can be divided in two parts, 116 and 617600, that added together give a palindrome (617716).

The spelling of 116617600 in words is "one hundred sixteen million, six hundred seventeen thousand, six hundred".