126206800 has 30 divisors (see below), whose sum is σ = 303212798. Its totient is φ = 50482560.

The previous prime is 126206791. The next prime is 126206803. The reversal of 126206800 is 8602621.

It can be written as a sum of positive squares in 3 ways, for example, as 3794704 + 122412096 = 1948^2 + 11064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126206803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157359 + ... + 158158.

Almost surely, 2^126206800 is an apocalyptic number.

126206800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126206800 is an abundant number, since it is smaller than the sum of its proper divisors (177005998).

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

126206800 is a wasteful number, since it uses less digits than its factorization.

126206800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315535 (or 315524 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 126206800 is about 11234.1799878763. The cubic root of 126206800 is about 501.6039160716.

The spelling of 126206800 in words is "one hundred twenty-six million, two hundred six thousand, eight hundred".