126009600 has 108 divisors (see below), whose sum is σ = 415921296. Its totient is φ = 33597440.

The previous prime is 126009589. The next prime is 126009619. The reversal of 126009600 is 6900621.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15919 + ... + 22481.

Almost surely, 2^126009600 is an apocalyptic number.

126009600 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 126009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207960648).

126009600 is an abundant number, since it is smaller than the sum of its proper divisors (289911696).

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

126009600 is an equidigital number, since it uses as much as digits as its factorization.

126009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 126009600 is about 11225.3997701641. The cubic root of 126009600 is about 501.3425253583.

The spelling of 126009600 in words is "one hundred twenty-six million, nine thousand, six hundred".