116213760 has 288 divisors, whose sum is σ = 438230520. Its totient is φ = 28311552.

The previous prime is 116213749. The next prime is 116213771. The reversal of 116213760 is 67312611.

116213760 is a `hidden beast` number, since 1 + 1 + 621 + 37 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116213749) and next prime (116213771).

It can be written as a sum of positive squares in 4 ways, for example, as 69755904 + 46457856 = 8352^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198032 + ... + 1198128.

Almost surely, 2^116213760 is an apocalyptic number.

116213760 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 116213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219115260).

116213760 is an abundant number, since it is smaller than the sum of its proper divisors (322016760).

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

116213760 is a wasteful number, since it uses less digits than its factorization.

116213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 116213760 is about 10780.2486056677. The cubic root of 116213760 is about 487.9992833457. Note that the first 3 decimals are identical.

The spelling of 116213760 in words is "one hundred sixteen million, two hundred thirteen thousand, seven hundred sixty".