126296800 has 144 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 40988160.

The previous prime is 126296777. The next prime is 126296831. The reversal of 126296800 is 8692621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105807 + ... + 106993.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^126296800 is an apocalyptic number.

126296800 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 126296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

126296800 is an abundant number, since it is smaller than the sum of its proper divisors (244929440).

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

126296800 is a wasteful number, since it uses less digits than its factorization.

126296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 126296800 is about 11238.1849068255. The cubic root of 126296800 is about 501.7231215493.

The spelling of 126296800 in words is "one hundred twenty-six million, two hundred ninety-six thousand, eight hundred".