114630264 has 96 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 32325696.

The previous prime is 114630259. The next prime is 114630289. The reversal of 114630264 is 462036411.

114630264 is a `hidden beast` number, since 1 + 1 + 4 + 630 + 26 + 4 = 666.

It is a congruent number.

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, 38377 + ... + 41255.

It is an arithmetic number, because the mean of its divisors is an integer number (3744000).

Almost surely, 2^114630264 is an apocalyptic number.

114630264 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 114630264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

114630264 is an abundant number, since it is smaller than the sum of its proper divisors (244793736).

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

114630264 is a wasteful number, since it uses less digits than its factorization.

114630264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 114630264 is about 10706.5523862726. The cubic root of 114630264 is about 485.7726925644.

Adding to 114630264 its reverse (462036411), we get a palindrome (576666675).

The spelling of 114630264 in words is "one hundred fourteen million, six hundred thirty thousand, two hundred sixty-four".