116185600 has 120 divisors (see below), whose sum is σ = 298736460. Its totient is φ = 44728320.

The previous prime is 116185579. The next prime is 116185621. The reversal of 116185600 is 6581611.

It is an interprime number because it is at equal distance from previous prime (116185579) and next prime (116185621).

It can be written as a sum of positive squares in 6 ways, for example, as 10342656 + 105842944 = 3216^2 + 10288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371044 + ... + 371356.

Almost surely, 2^116185600 is an apocalyptic number.

116185600 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 116185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149368230).

116185600 is an abundant number, since it is smaller than the sum of its proper divisors (182550860).

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

116185600 is an equidigital number, since it uses as much as digits as its factorization.

116185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 116185600 is about 10778.9424342094. The cubic root of 116185600 is about 487.9598641182.

It can be divided in two parts, 116 and 185600, that multiplied together give a square (21529600 = 4640²).

The spelling of 116185600 in words is "one hundred sixteen million, one hundred eighty-five thousand, six hundred".