114124560 has 160 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 27379200.

The previous prime is 114124559. The next prime is 114124579. The reversal of 114124560 is 65421411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114124560.

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 31 ways as a sum of consecutive naturals, for example, 366805 + ... + 367115.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^114124560 is an apocalyptic number.

114124560 is a gapful number since it is divisible by the number (10) 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 114124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

114124560 is an abundant number, since it is smaller than the sum of its proper divisors (275850480).

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

114124560 is a wasteful number, since it uses less digits than its factorization.

114124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114124560 is about 10682.9097159903. The cubic root of 114124560 is about 485.0572929802.

Adding to 114124560 its reverse (65421411), we get a palindrome (179545971).

The spelling of 114124560 in words is "one hundred fourteen million, one hundred twenty-four thousand, five hundred sixty".