1232648000 has 56 divisors (see below), whose sum is σ = 3052672584. Its totient is φ = 493056000.

The previous prime is 1232647979. The next prime is 1232648017. The reversal of 1232648000 is 8462321.

It can be written as a sum of positive squares in 4 ways, for example, as 17707264 + 1214940736 = 4208^2 + 34856^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69041 + ... + 85040.

Almost surely, 2^1232648000 is an apocalyptic number.

1232648000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232648000 is an abundant number, since it is smaller than the sum of its proper divisors (1820024584).

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

1232648000 is an equidigital number, since it uses as much as digits as its factorization.

1232648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154108 (or 154088 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1232648000 is about 35109.0871427897. The cubic root of 1232648000 is about 1072.2096011035.

The spelling of 1232648000 in words is "one billion, two hundred thirty-two million, six hundred forty-eight thousand".