126432600 has 96 divisors (see below), whose sum is σ = 447947520. Its totient is φ = 28897920.

The previous prime is 126432583. The next prime is 126432617. The reversal of 126432600 is 6234621.

It is an interprime number because it is at equal distance from previous prime (126432583) and next prime (126432617).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10852 + ... + 19251.

It is an arithmetic number, because the mean of its divisors is an integer number (4666120).

Almost surely, 2^126432600 is an apocalyptic number.

126432600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126432600 is an abundant number, since it is smaller than the sum of its proper divisors (321514920).

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

126432600 is a wasteful number, since it uses less digits than its factorization.

126432600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30129 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 126432600 is about 11244.2251845114. The cubic root of 126432600 is about 501.9028822248.

The spelling of 126432600 in words is "one hundred twenty-six million, four hundred thirty-two thousand, six hundred".