126600400 has 30 divisors (see below), whose sum is σ = 304158422. Its totient is φ = 50640000.

The previous prime is 126600391. The next prime is 126600403. The reversal of 126600400 is 4006621.

It can be written as a sum of positive squares in 3 ways, for example, as 13220496 + 113379904 = 3636^2 + 10648^2 .

It is a super-2 number, since 2×126600400² = 32055322560320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126600403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157851 + ... + 158650.

Almost surely, 2^126600400 is an apocalyptic number.

126600400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126600400 is an abundant number, since it is smaller than the sum of its proper divisors (177558022).

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

126600400 is a wasteful number, since it uses less digits than its factorization.

126600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316519 (or 316508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 126600400 is about 11251.6843183587. The cubic root of 126600400 is about 502.1248241205.

The spelling of 126600400 in words is "one hundred twenty-six million, six hundred thousand, four hundred".