116268264 has 128 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 32909760.

The previous prime is 116268263. The next prime is 116268301. The reversal of 116268264 is 462862611.

116268264 is a `hidden beast` number, since 1 + 1 + 626 + 8 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116268263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197779 + ... + 198365.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^116268264 is an apocalyptic number.

116268264 is a gapful number since it is divisible by the number (14) 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 116268264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

116268264 is an abundant number, since it is smaller than the sum of its proper divisors (256288536).

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

116268264 is a wasteful number, since it uses less digits than its factorization.

116268264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 116268264 is about 10782.7762658788. The cubic root of 116268264 is about 488.0755616221.

The spelling of 116268264 in words is "one hundred sixteen million, two hundred sixty-eight thousand, two hundred sixty-four".