8013360 has 80 divisors (see below), whose sum is σ = 25114464. Its totient is φ = 2113536.

The previous prime is 8013329. The next prime is 8013371. The reversal of 8013360 is 633108.

8013360 = 100² + 101² + ... + 292².

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41424 + ... + 41616.

Almost surely, 2^8013360 is an apocalyptic number.

8013360 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 8013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557232).

8013360 is an abundant number, since it is smaller than the sum of its proper divisors (17101104).

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

8013360 is a wasteful number, since it uses less digits than its factorization.

8013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 8013360 is about 2830.7878761928. The cubic root of 8013360 is about 200.1112714152. Note that the first 3 decimals are identical.

Adding to 8013360 its reverse (633108), we get a palindrome (8646468).

The spelling of 8013360 in words is "eight million, thirteen thousand, three hundred sixty".