123685632 has 108 divisors (see below), whose sum is σ = 407614480. Its totient is φ = 35334144.

The previous prime is 123685631. The next prime is 123685657. The reversal of 123685632 is 236586321.

It is a happy number.

123685632 is a `hidden beast` number, since 12 + 3 + 6 + 8 + 5 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (123685631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12294 + ... + 19962.

Almost surely, 2^123685632 is an apocalyptic number.

123685632 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 123685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203807240).

123685632 is an abundant number, since it is smaller than the sum of its proper divisors (283928848).

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

123685632 is an equidigital number, since it uses as much as digits as its factorization.

123685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7681 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 123685632 is about 11121.4042278842. The cubic root of 123685632 is about 498.2413307508.

It can be divided in two parts, 1236 and 85632, that added together give a palindrome (86868).

The spelling of 123685632 in words is "one hundred twenty-three million, six hundred eighty-five thousand, six hundred thirty-two".