114560320 has 112 divisors (see below), whose sum is σ = 314553600. Its totient is φ = 38928384.

The previous prime is 114560311. The next prime is 114560321. The reversal of 114560320 is 23065411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 114560291 and 114560300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114560321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445632 + ... + 445888.

Almost surely, 2^114560320 is an apocalyptic number.

114560320 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 114560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157276800).

114560320 is an abundant number, since it is smaller than the sum of its proper divisors (199993280).

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

114560320 is a wasteful number, since it uses less digits than its factorization.

114560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 114560320 is about 10703.2854768991. The cubic root of 114560320 is about 485.6738710812.

The spelling of 114560320 in words is "one hundred fourteen million, five hundred sixty thousand, three hundred twenty".