126724400 has 120 divisors (see below), whose sum is σ = 337103424. Its totient is φ = 45395200.

The previous prime is 126724391. The next prime is 126724417. The reversal of 126724400 is 4427621.

It is a self number, because there is not a number n which added to its sum of digits gives 126724400.

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, 365027 + ... + 365373.

Almost surely, 2^126724400 is an apocalyptic number.

126724400 is a gapful number since it is divisible by the number (10) 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 126724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168551712).

126724400 is an abundant number, since it is smaller than the sum of its proper divisors (210379024).

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

126724400 is a wasteful number, since it uses less digits than its factorization.

126724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 126724400 is about 11257.1932558698. The cubic root of 126724400 is about 502.2887076497.

The spelling of 126724400 in words is "one hundred twenty-six million, seven hundred twenty-four thousand, four hundred".