90512600 has 48 divisors (see below), whose sum is σ = 214941600. Its totient is φ = 35431040.

The previous prime is 90512557. The next prime is 90512623. The reversal of 90512600 is 621509.

90512600 = T₆₄ + T₆₅ + ... + T₈₁₅.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4586 + ... + 14214.

It is an arithmetic number, because the mean of its divisors is an integer number (4477950).

Almost surely, 2^90512600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90512600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107470800).

90512600 is an abundant number, since it is smaller than the sum of its proper divisors (124429000).

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

90512600 is a wasteful number, since it uses less digits than its factorization.

90512600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 90512600 is about 9513.8110134688. The cubic root of 90512600 is about 448.9896674722.

The spelling of 90512600 in words is "ninety million, five hundred twelve thousand, six hundred".