114270624 has 144 divisors (see below), whose sum is σ = 365444352. Its totient is φ = 33606144.

The previous prime is 114270593. The next prime is 114270679. The reversal of 114270624 is 426072411.

114270624 is a `hidden beast` number, since 1 + 14 + 27 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85449 + ... + 86775.

It is an arithmetic number, because the mean of its divisors is an integer number (2537808).

Almost surely, 2^114270624 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 114270624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182722176).

114270624 is an abundant number, since it is smaller than the sum of its proper divisors (251173728).

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

114270624 is a wasteful number, since it uses less digits than its factorization.

114270624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 114270624 is about 10689.7438697099. The cubic root of 114270624 is about 485.2641406679.

The spelling of 114270624 in words is "one hundred fourteen million, two hundred seventy thousand, six hundred twenty-four".