900920 has 32 divisors (see below), whose sum is σ = 2056320. Its totient is φ = 355200.

The previous prime is 900917. The next prime is 900929. The reversal of 900920 is 29009.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 900892 and 900901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3929 + ... + 4151.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2⁹⁰⁰⁹²⁰ is an apocalyptic number.

It is an amenable number.

900920 is an abundant number, since it is smaller than the sum of its proper divisors (1155400).

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

900920 is a wasteful number, since it uses less digits than its factorization.

900920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 900920 is about 949.1680567739. The cubic root of 900920 is about 96.5818254140.

Adding to 900920 its reverse (29009), we get a palindrome (929929).

The spelling of 900920 in words is "nine hundred thousand, nine hundred twenty".