114630824 has 64 divisors (see below), whose sum is σ = 269222400. Its totient is φ = 44452800.

The previous prime is 114630809. The next prime is 114630833. The reversal of 114630824 is 428036411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233219 + ... + 233709.

It is an arithmetic number, because the mean of its divisors is an integer number (4206600).

Almost surely, 2^114630824 is an apocalyptic number.

114630824 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 114630824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134611200).

114630824 is an abundant number, since it is smaller than the sum of its proper divisors (154591576).

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

114630824 is a wasteful number, since it uses less digits than its factorization.

114630824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 114630824 is about 10706.5785384501. The cubic root of 114630824 is about 485.7734836070.

The spelling of 114630824 in words is "one hundred fourteen million, six hundred thirty thousand, eight hundred twenty-four".