8905960 has 64 divisors (see below), whose sum is σ = 24261120. Its totient is φ = 2872320.

The previous prime is 8905957. The next prime is 8905997. The reversal of 8905960 is 695098.

8905960 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8905960² = 158632247043200, which contains 22 as substring.

8905960 is strictly pandigital in base 8.

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, 3825 + ... + 5695.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 2^8905960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8905960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130560).

8905960 is an abundant number, since it is smaller than the sum of its proper divisors (15355160).

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

8905960 is a wasteful number, since it uses less digits than its factorization.

8905960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 8905960 is about 2984.2855091294. The cubic root of 8905960 is about 207.2813587068.

The spelling of 8905960 in words is "eight million, nine hundred five thousand, nine hundred sixty".