114260832 has 216 divisors, whose sum is σ = 394417296. Its totient is φ = 30730752.

The previous prime is 114260831. The next prime is 114260833. The reversal of 114260832 is 238062411.

114260832 is a `hidden beast` number, since 11 + 42 + 608 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114260831) and next prime (114260833).

It is a junction number, because it is equal to n+sod(n) for n = 114260796 and 114260805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114260831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727698 + ... + 727854.

It is an arithmetic number, because the mean of its divisors is an integer number (1826006).

Almost surely, 2^114260832 is an apocalyptic number.

114260832 is a gapful number since it is divisible by the number (12) 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 114260832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197208648).

114260832 is an abundant number, since it is smaller than the sum of its proper divisors (280156464).

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

114260832 is a wasteful number, since it uses less digits than its factorization.

114260832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114260832 is about 10689.2858507947. The cubic root of 114260832 is about 485.2502792979.

The spelling of 114260832 in words is "one hundred fourteen million, two hundred sixty thousand, eight hundred thirty-two".