8245920 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 2140160.

The previous prime is 8245883. The next prime is 8245921. The reversal of 8245920 is 295428.

8245920 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8245921) 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, 19471 + ... + 19889.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^8245920 is an apocalyptic number.

8245920 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 8245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

8245920 is an abundant number, since it is smaller than the sum of its proper divisors (18425760).

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

8245920 is a wasteful number, since it uses less digits than its factorization.

8245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8245920 is about 2871.5709985999. The cubic root of 8245920 is about 202.0286859238.

The spelling of 8245920 in words is "eight million, two hundred forty-five thousand, nine hundred twenty".