126079200 has 288 divisors, whose sum is σ = 492156000. Its totient is φ = 30965760.

The previous prime is 126079189. The next prime is 126079207. The reversal of 126079200 is 2970621.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126079207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280576 + ... + 281024.

It is an arithmetic number, because the mean of its divisors is an integer number (1708875).

Almost surely, 2^126079200 is an apocalyptic number.

126079200 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 126079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246078000).

126079200 is an abundant number, since it is smaller than the sum of its proper divisors (366076800).

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

126079200 is a wasteful number, since it uses less digits than its factorization.

126079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 126079200 is about 11228.4994545131. The cubic root of 126079200 is about 501.4348120238.

The spelling of 126079200 in words is "one hundred twenty-six million, seventy-nine thousand, two hundred".