900540960 has 96 divisors (see below), whose sum is σ = 3094604352. Its totient is φ = 218311680.

The previous prime is 900540931. The next prime is 900541001. The reversal of 900540960 is 69045009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 79999 + ... + 90558.

It is an arithmetic number, because the mean of its divisors is an integer number (32235462).

Almost surely, 2^900540960 is an apocalyptic number.

It is an amenable number.

900540960 is an abundant number, since it is smaller than the sum of its proper divisors (2194063392).

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

900540960 is a wasteful number, since it uses less digits than its factorization.

900540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170586 (or 170578 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 900540960 is about 30009.0146456027. The cubic root of 900540960 is about 965.6827870236.

Adding to 900540960 its reverse (69045009), we get a palindrome (969585969).

The spelling of 900540960 in words is "nine hundred million, five hundred forty thousand, nine hundred sixty".