8131920 has 80 divisors (see below), whose sum is σ = 26045952. Its totient is φ = 2096640.

The previous prime is 8131901. The next prime is 8131927. The reversal of 8131920 is 291318.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8131920² = 132256245772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6894 + ... + 7986.

Almost surely, 2^8131920 is an apocalyptic number.

8131920 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 8131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022976).

8131920 is an abundant number, since it is smaller than the sum of its proper divisors (17914032).

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

8131920 is a wasteful number, since it uses less digits than its factorization.

8131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8131920 is about 2851.6521527003. The cubic root of 8131920 is about 201.0933454207.

The spelling of 8131920 in words is "eight million, one hundred thirty-one thousand, nine hundred twenty".