123397632 has 120 divisors (see below), whose sum is σ = 362796720. Its totient is φ = 40366080.

The previous prime is 123397619. The next prime is 123397649. The reversal of 123397632 is 236793321.

123397632 is a `hidden beast` number, since 12 + 3 + 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280869 + ... + 281307.

It is an arithmetic number, because the mean of its divisors is an integer number (3023306).

Almost surely, 2^123397632 is an apocalyptic number.

123397632 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 123397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181398360).

123397632 is an abundant number, since it is smaller than the sum of its proper divisors (239399088).

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

123397632 is an equidigital number, since it uses as much as digits as its factorization.

123397632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 505 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 123397632 is about 11108.4486765705. The cubic root of 123397632 is about 497.8543145730.

The spelling of 123397632 in words is "one hundred twenty-three million, three hundred ninety-seven thousand, six hundred thirty-two".