90002560 has 32 divisors (see below), whose sum is σ = 215163900. Its totient is φ = 36000768.

The previous prime is 90002557. The next prime is 90002597. The reversal of 90002560 is 6520009.

It can be written as a sum of positive squares in 2 ways, for example, as 81288256 + 8714304 = 9016^2 + 2952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 69675 + ... + 70954.

Almost surely, 2^90002560 is an apocalyptic number.

It is an amenable number.

90002560 is an abundant number, since it is smaller than the sum of its proper divisors (125161340).

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

90002560 is a wasteful number, since it uses less digits than its factorization.

90002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140648 (or 140636 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 90002560 is about 9486.9679033925. The cubic root of 90002560 is about 448.1447236510.

Adding to 90002560 its reverse (6520009), we get a palindrome (96522569).

It can be divided in two parts, 9000 and 2560, that multiplied together give a square (23040000 = 4800²).

The spelling of 90002560 in words is "ninety million, two thousand, five hundred sixty".