8089920 has 126 divisors (see below), whose sum is σ = 28360878. Its totient is φ = 2116608.

The previous prime is 8089919. The next prime is 8089931. The reversal of 8089920 is 299808.

It can be written as a sum of positive squares in 3 ways, for example, as 2214144 + 5875776 = 1488^2 + 2424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 152614 + ... + 152666.

Almost surely, 2^8089920 is an apocalyptic number.

8089920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14180439).

8089920 is an abundant number, since it is smaller than the sum of its proper divisors (20270958).

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

8089920 is a wasteful number, since it uses less digits than its factorization.

8089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8089920 is about 2844.2784673797. The cubic root of 8089920 is about 200.7465432321.

It can be divided in two parts, 8089 and 920, that added together give a palindrome (9009).

The spelling of 8089920 in words is "eight million, eighty-nine thousand, nine hundred twenty".