8257920 has 256 divisors, whose sum is σ = 31726080. Its totient is φ = 1802240.

The previous prime is 8257889. The next prime is 8257957. The reversal of 8257920 is 297528.

8257920 is digitally balanced in base 5, 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 (33).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359029 + ... + 359051.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

Almost surely, 2^8257920 is an apocalyptic number.

8257920 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 8257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).

8257920 is an abundant number, since it is smaller than the sum of its proper divisors (23468160).

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

8257920 is a wasteful number, since it uses less digits than its factorization.

8257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 8257920 is about 2873.6596875761. The cubic root of 8257920 is about 202.1266401913.

The spelling of 8257920 in words is "eight million, two hundred fifty-seven thousand, nine hundred twenty".