114635560 has 64 divisors (see below), whose sum is σ = 281005200. Its totient is φ = 41834496.

The previous prime is 114635527. The next prime is 114635567. The reversal of 114635560 is 65536411.

It can be written as a sum of positive squares in 8 ways, for example, as 13793796 + 100841764 = 3714^2 + 10042^2 .

It is not an unprimeable number, because it can be changed into a prime (114635567) 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 15 ways as a sum of consecutive naturals, for example, 45042 + ... + 47518.

Almost surely, 2^114635560 is an apocalyptic number.

114635560 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 114635560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140502600).

114635560 is an abundant number, since it is smaller than the sum of its proper divisors (166369640).

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

114635560 is a wasteful number, since it uses less digits than its factorization.

114635560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 114635560 is about 10706.7997085964. The cubic root of 114635560 is about 485.7801734642.

The spelling of 114635560 in words is "one hundred fourteen million, six hundred thirty-five thousand, five hundred sixty".