123432576 has 64 divisors (see below), whose sum is σ = 338476800. Its totient is φ = 39813120.

The previous prime is 123432557. The next prime is 123432611. The reversal of 123432576 is 675234321.

It is a tau number, because it is divible by the number of its divisors (64).

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, 6720 + ... + 17088.

It is an arithmetic number, because the mean of its divisors is an integer number (5288700).

Almost surely, 2^123432576 is an apocalyptic number.

123432576 is a gapful number since it is divisible by the number (16) 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 123432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169238400).

123432576 is an abundant number, since it is smaller than the sum of its proper divisors (215044224).

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

123432576 is a wasteful number, since it uses less digits than its factorization.

123432576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10417 (or 10405 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 123432576 is about 11110.0214221216. The cubic root of 123432576 is about 497.9013046137.

Adding to 123432576 its reverse (675234321), we get a palindrome (798666897).

The spelling of 123432576 in words is "one hundred twenty-three million, four hundred thirty-two thousand, five hundred seventy-six".