920889090 has 48 divisors (see below), whose sum is σ = 2611979136. Its totient is φ = 223245600.

The previous prime is 920889083. The next prime is 920889091. The reversal of 920889090 is 90988029.

920889090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (920889091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464106 + ... + 466085.

It is an arithmetic number, because the mean of its divisors is an integer number (54416232).

Almost surely, 2^920889090 is an apocalyptic number.

920889090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

920889090 is an abundant number, since it is smaller than the sum of its proper divisors (1691090046).

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

920889090 is a wasteful number, since it uses less digits than its factorization.

920889090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930215 (or 930212 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 920889090 is about 30346.1544515940. The cubic root of 920889090 is about 972.9020293325.

The spelling of 920889090 in words is "nine hundred twenty million, eight hundred eighty-nine thousand, ninety".