114832656 has 135 divisors (see below), whose sum is σ = 346546551. Its totient is φ = 35491392.

The previous prime is 114832651. The next prime is 114832673. The reversal of 114832656 is 656238411.

It is a happy number.

The square root of 114832656 is 10716.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114832656.

It is not an unprimeable number, because it can be changed into a prime (114832651) 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 26 ways as a sum of consecutive naturals, for example, 2443225 + ... + 2443271.

Almost surely, 2^114832656 is an apocalyptic number.

114832656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114832656 is the 10716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114832656

114832656 is an abundant number, since it is smaller than the sum of its proper divisors (231713895).

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

114832656 is a wasteful number, since it uses less digits than its factorization.

114832656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 71 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 114832656 is about 486.0584190305.

Multiplying 114832656 by its sum of digits (36), we get a square (4133975616 = 64296²).

114832656 divided by its sum of digits (36) gives a square (3189796 = 1786²).

The spelling of 114832656 in words is "one hundred fourteen million, eight hundred thirty-two thousand, six hundred fifty-six".