114322320 has 160 divisors (see below), whose sum is σ = 450090240. Its totient is φ = 26127360.

The previous prime is 114322277. The next prime is 114322339. The reversal of 114322320 is 23223411.

114322320 is a `hidden beast` number, since 1 + 1 + 432 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114322293 and 114322302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11340 + ... + 18900.

It is an arithmetic number, because the mean of its divisors is an integer number (2813064).

Almost surely, 2^114322320 is an apocalyptic number.

114322320 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 114322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225045120).

114322320 is an abundant number, since it is smaller than the sum of its proper divisors (335767920).

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

114322320 is a wasteful number, since it uses less digits than its factorization.

114322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 114322320 is about 10692.1616149402. The cubic root of 114322320 is about 485.3373074250.

Adding to 114322320 its reverse (23223411), we get a palindrome (137545731).

The spelling of 114322320 in words is "one hundred fourteen million, three hundred twenty-two thousand, three hundred twenty".