114388560 has 360 divisors, whose sum is σ = 459236232. Its totient is φ = 25344000.

The previous prime is 114388559. The next prime is 114388567. The reversal of 114388560 is 65883411.

114388560 is a `hidden beast` number, since 1 + 14 + 3 + 88 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18974736 + 95413824 = 4356^2 + 9768^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114388567) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1132510 + ... + 1132610.

Almost surely, 2^114388560 is an apocalyptic number.

114388560 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 114388560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229618116).

114388560 is an abundant number, since it is smaller than the sum of its proper divisors (344847672).

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

114388560 is a wasteful number, since it uses less digits than its factorization.

114388560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 114388560 is about 10695.2587626481. The cubic root of 114388560 is about 485.4310264704.

The spelling of 114388560 in words is "one hundred fourteen million, three hundred eighty-eight thousand, five hundred sixty".