126364400 has 60 divisors (see below), whose sum is σ = 321466032. Its totient is φ = 47569920.

The previous prime is 126364393. The next prime is 126364409. The reversal of 126364400 is 4463621.

It is a self number, because there is not a number n which added to its sum of digits gives 126364400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126364409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2492 + ... + 16091.

Almost surely, 2^126364400 is an apocalyptic number.

126364400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126364400 is an abundant number, since it is smaller than the sum of its proper divisors (195101632).

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

126364400 is a wasteful number, since it uses less digits than its factorization.

126364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18618 (or 18607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 126364400 is about 11241.1921076014. The cubic root of 126364400 is about 501.8126208704.

The spelling of 126364400 in words is "one hundred twenty-six million, three hundred sixty-four thousand, four hundred".