114397632 has 84 divisors (see below), whose sum is σ = 345191080. Its totient is φ = 36122112.

The previous prime is 114397601. The next prime is 114397649. The reversal of 114397632 is 236793411.

114397632 is a `hidden beast` number, since 1 + 14 + 3 + 9 + 7 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5718 + ... + 16170.

Almost surely, 2^114397632 is an apocalyptic number.

114397632 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 114397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172595540).

114397632 is an abundant number, since it is smaller than the sum of its proper divisors (230793448).

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

114397632 is a wasteful number, since it uses less digits than its factorization.

114397632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490 (or 10477 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 114397632 is about 10695.6828674003. The cubic root of 114397632 is about 485.4438590877.

The spelling of 114397632 in words is "one hundred fourteen million, three hundred ninety-seven thousand, six hundred thirty-two".