116827264 has 64 divisors (see below), whose sum is σ = 251330040. Its totient is φ = 53886976.

The previous prime is 116827237. The next prime is 116827267. The reversal of 116827264 is 462728611.

It can be written as a sum of positive squares in 4 ways, for example, as 89870400 + 26956864 = 9480^2 + 5192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×116827264² = 27297219227451392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116827267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114822 + ... + 115834.

Almost surely, 2^116827264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125665020).

116827264 is an abundant number, since it is smaller than the sum of its proper divisors (134502776).

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

116827264 is a wasteful number, since it uses less digits than its factorization.

116827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 116827264 is about 10808.6661526758. Note that the first 3 decimals coincide. The cubic root of 116827264 is about 488.8565089054.

The spelling of 116827264 in words is "one hundred sixteen million, eight hundred twenty-seven thousand, two hundred sixty-four".