114065280 has 512 divisors, whose sum is σ = 493516800. Its totient is φ = 24330240.

The previous prime is 114065279. The next prime is 114065293. The reversal of 114065280 is 82560411.

114065280 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 652 + 8 + 0 = 666.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782060 + ... + 2782100.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^114065280 is an apocalyptic number.

114065280 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 114065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

114065280 is an abundant number, since it is smaller than the sum of its proper divisors (379451520).

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

114065280 is a wasteful number, since it uses less digits than its factorization.

114065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114065280 is about 10680.1348306096. The cubic root of 114065280 is about 484.9732936015.

The spelling of 114065280 in words is "one hundred fourteen million, sixty-five thousand, two hundred eighty".