8958560 has 96 divisors (see below), whose sum is σ = 23496480. Its totient is φ = 3207168.

The previous prime is 8958553. The next prime is 8958563. The reversal of 8958560 is 658598.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8958563) 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, 122684 + ... + 122756.

It is an arithmetic number, because the mean of its divisors is an integer number (244755).

Almost surely, 2^8958560 is an apocalyptic number.

8958560 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 8958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748240).

8958560 is an abundant number, since it is smaller than the sum of its proper divisors (14537920).

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

8958560 is a wasteful number, since it uses less digits than its factorization.

8958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 8958560 is about 2993.0853646363. The cubic root of 8958560 is about 207.6886367048.

The spelling of 8958560 in words is "eight million, nine hundred fifty-eight thousand, five hundred sixty".