123793632 has 72 divisors (see below), whose sum is σ = 356559840. Its totient is φ = 40734720.

The previous prime is 123793627. The next prime is 123793661. The reversal of 123793632 is 236397321.

123793632 is a `hidden beast` number, since 12 + 3 + 7 + 9 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 20032 + ... + 25472.

It is an arithmetic number, because the mean of its divisors is an integer number (4952220).

Almost surely, 2^123793632 is an apocalyptic number.

123793632 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 123793632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178279920).

123793632 is an abundant number, since it is smaller than the sum of its proper divisors (232766208).

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

123793632 is a wasteful number, since it uses less digits than its factorization.

123793632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5525 counting only the distinct ones).

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

The square root of 123793632 is about 11126.2586703707. The cubic root of 123793632 is about 498.3863069254.

The spelling of 123793632 in words is "one hundred twenty-three million, seven hundred ninety-three thousand, six hundred thirty-two".