123973632 has 208 divisors, whose sum is σ = 393168000. Its totient is φ = 38486016.

The previous prime is 123973631. The next prime is 123973649. The reversal of 123973632 is 236379321.

123973632 is a `hidden beast` number, since 12 + 3 + 9 + 7 + 3 + 632 = 666.

It is a super-2 number, since 2×123973632² = 30738922862542848, which contains 22 as substring.

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 (123973631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101219 + ... + 2101277.

Almost surely, 2^123973632 is an apocalyptic number.

123973632 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 123973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196584000).

123973632 is an abundant number, since it is smaller than the sum of its proper divisors (269194368).

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

123973632 is an equidigital number, since it uses as much as digits as its factorization.

123973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

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

The square root of 123973632 is about 11134.3447045616. The cubic root of 123973632 is about 498.6277466201.

The spelling of 123973632 in words is "one hundred twenty-three million, nine hundred seventy-three thousand, six hundred thirty-two".