8019920 has 40 divisors (see below), whose sum is σ = 19746504. Its totient is φ = 3018752.

The previous prime is 8019911. The next prime is 8019931. The reversal of 8019920 is 299108.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 4545424 = 1864^2 + 2132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1589 + ... + 4308.

Almost surely, 2^8019920 is an apocalyptic number.

8019920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8019920 is an abundant number, since it is smaller than the sum of its proper divisors (11726584).

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

8019920 is a wasteful number, since it uses less digits than its factorization.

8019920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 8019920 is about 2831.9463271750. The cubic root of 8019920 is about 200.1658624103.

The spelling of 8019920 in words is "eight million, nineteen thousand, nine hundred twenty".