126590400 has 252 divisors, whose sum is σ = 460629000. Its totient is φ = 32962560.

The previous prime is 126590383. The next prime is 126590417. The reversal of 126590400 is 4095621.

126590400 is a `hidden beast` number, since 1 + 2 + 659 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126590383) and next prime (126590417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 849526 + ... + 849674.

Almost surely, 2^126590400 is an apocalyptic number.

126590400 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 126590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230314500).

126590400 is an abundant number, since it is smaller than the sum of its proper divisors (334038600).

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

126590400 is a wasteful number, since it uses less digits than its factorization.

126590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126590400 is about 11251.2399316698. The cubic root of 126590400 is about 502.1116030447. Note that the first 3 decimals are identical.

The spelling of 126590400 in words is "one hundred twenty-six million, five hundred ninety thousand, four hundred".