114832960 has 224 divisors, whose sum is σ = 335767680. Its totient is φ = 36864000.

The previous prime is 114832957. The next prime is 114832961. The reversal of 114832960 is 69238411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (114832961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136910 + ... + 1137010.

Almost surely, 2^114832960 is an apocalyptic number.

114832960 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 114832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167883840).

114832960 is an abundant number, since it is smaller than the sum of its proper divisors (220934720).

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

114832960 is a wasteful number, since it uses less digits than its factorization.

114832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 114832960 is about 10716.0141843878. The cubic root of 114832960 is about 486.0588479492.

The spelling of 114832960 in words is "one hundred fourteen million, eight hundred thirty-two thousand, nine hundred sixty".