114226560 has 192 divisors, whose sum is σ = 450946080. Its totient is φ = 26099712.

The previous prime is 114226559. The next prime is 114226571. The reversal of 114226560 is 65622411.

114226560 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38904 + ... + 41736.

Almost surely, 2^114226560 is an apocalyptic number.

114226560 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 114226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225473040).

114226560 is an abundant number, since it is smaller than the sum of its proper divisors (336719520).

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

114226560 is a wasteful number, since it uses less digits than its factorization.

114226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 114226560 is about 10687.6826300185. The cubic root of 114226560 is about 485.2017582655.

Adding to 114226560 its reverse (65622411), we get a palindrome (179848971).

The spelling of 114226560 in words is "one hundred fourteen million, two hundred twenty-six thousand, five hundred sixty".