8251920 has 120 divisors (see below), whose sum is σ = 28271256. Its totient is φ = 2156544.

The previous prime is 8251913. The next prime is 8251937. The reversal of 8251920 is 291528.

8251920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 7750656 = 708^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52482 + ... + 52638.

Almost surely, 2^8251920 is an apocalyptic number.

8251920 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 8251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135628).

8251920 is an abundant number, since it is smaller than the sum of its proper divisors (20019336).

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

8251920 is a wasteful number, since it uses less digits than its factorization.

8251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8251920 is about 2872.6155329247. The cubic root of 8251920 is about 202.0776749281.

The spelling of 8251920 in words is "eight million, two hundred fifty-one thousand, nine hundred twenty".