5750900 has 36 divisors (see below), whose sum is σ = 12603360. Its totient is φ = 2277600.

The previous prime is 5750893. The next prime is 5750911. The reversal of 5750900 is 90575.

5750900 = 56³ + 57³ + ... + 75³.

It is a self number, because there is not a number n which added to its sum of digits gives 5750900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12881 + ... + 13319.

Almost surely, 2^5750900 is an apocalyptic number.

5750900 is a gapful number since it is divisible by the number (50) 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 5750900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301680).

5750900 is an abundant number, since it is smaller than the sum of its proper divisors (6852460).

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

5750900 is a wasteful number, since it uses less digits than its factorization.

5750900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 5750900 is about 2398.1034172863. The cubic root of 5750900 is about 179.1617401446.

The spelling of 5750900 in words is "five million, seven hundred fifty thousand, nine hundred".