8147920 has 80 divisors (see below), whose sum is σ = 21212928. Its totient is φ = 2885120.

The previous prime is 8147917. The next prime is 8147921. The reversal of 8147920 is 297418.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8147921) 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, 41262 + ... + 41458.

Almost surely, 2^8147920 is an apocalyptic number.

8147920 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 8147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606464).

8147920 is an abundant number, since it is smaller than the sum of its proper divisors (13065008).

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

8147920 is a wasteful number, since it uses less digits than its factorization.

8147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 8147920 is about 2854.4561653667. The cubic root of 8147920 is about 201.2251464235.

The spelling of 8147920 in words is "eight million, one hundred forty-seven thousand, nine hundred twenty".