114424632 has 96 divisors (see below), whose sum is σ = 369607680. Its totient is φ = 31268160.

The previous prime is 114424621. The next prime is 114424679. The reversal of 114424632 is 236424411.

It is a happy number.

114424632 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 24 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114424596 and 114424605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6657 + ... + 16527.

It is an arithmetic number, because the mean of its divisors is an integer number (3850080).

Almost surely, 2^114424632 is an apocalyptic number.

114424632 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 114424632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184803840).

114424632 is an abundant number, since it is smaller than the sum of its proper divisors (255183048).

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

114424632 is a wasteful number, since it uses less digits than its factorization.

114424632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9906 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 114424632 is about 10696.9449844336. The cubic root of 114424632 is about 485.4820473874.

The spelling of 114424632 in words is "one hundred fourteen million, four hundred twenty-four thousand, six hundred thirty-two".