114642560 has 128 divisors (see below), whose sum is σ = 298423440. Its totient is φ = 41943040.

The previous prime is 114642533. The next prime is 114642571. The reversal of 114642560 is 65246411.

It can be written as a sum of positive squares in 8 ways, for example, as 71503936 + 43138624 = 8456^2 + 6568^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445952 + ... + 446208.

Almost surely, 2^114642560 is an apocalyptic number.

114642560 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 114642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149211720).

114642560 is an abundant number, since it is smaller than the sum of its proper divisors (183780880).

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

114642560 is a wasteful number, since it uses less digits than its factorization.

114642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 114642560 is about 10707.1265986725. The cubic root of 114642560 is about 485.7900610070.

Adding to 114642560 its reverse (65246411), we get a palindrome (179888971).

The spelling of 114642560 in words is "one hundred fourteen million, six hundred forty-two thousand, five hundred sixty".