126441600 has 96 divisors (see below), whose sum is σ = 416498640. Its totient is φ = 33715200.

The previous prime is 126441589. The next prime is 126441607. The reversal of 126441600 is 6144621.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (126441607) 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, 3015 + ... + 16185.

Almost surely, 2^126441600 is an apocalyptic number.

126441600 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 126441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208249320).

126441600 is an abundant number, since it is smaller than the sum of its proper divisors (290057040).

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

126441600 is a wasteful number, since it uses less digits than its factorization.

126441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13198 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126441600 is about 11244.6253828218. The cubic root of 126441600 is about 501.9147911227.

The spelling of 126441600 in words is "one hundred twenty-six million, four hundred forty-one thousand, six hundred".