900243126 has 64 divisors (see below), whose sum is σ = 2127202560. Its totient is φ = 281232000.

The previous prime is 900243121. The next prime is 900243133. The reversal of 900243126 is 621342009.

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

It is a self number, because there is not a number n which added to its sum of digits gives 900243126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900243121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228465 + ... + 232371.

It is an arithmetic number, because the mean of its divisors is an integer number (33237540).

Almost surely, 2^900243126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900243126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063601280).

900243126 is an abundant number, since it is smaller than the sum of its proper divisors (1226959434).

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

900243126 is a wasteful number, since it uses less digits than its factorization.

900243126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 900243126 is about 30004.0518263784. The cubic root of 900243126 is about 965.5763158790.

The spelling of 900243126 in words is "nine hundred million, two hundred forty-three thousand, one hundred twenty-six".