10088960 has 80 divisors (see below), whose sum is σ = 27694656. Its totient is φ = 3452928.

The previous prime is 10088959. The next prime is 10088963. The reversal of 10088960 is 6988001.

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

It is a super-2 number, since 2×10088960² = 203574227763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17639 + ... + 18201.

Almost surely, 2^10088960 is an apocalyptic number.

10088960 is a gapful number since it is divisible by the number (10) 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 10088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847328).

10088960 is an abundant number, since it is smaller than the sum of its proper divisors (17605696).

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

10088960 is an frugal number, since it uses more digits than its factorization.

10088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 10088960 is about 3176.3123272122. The cubic root of 10088960 is about 216.0804455729.

The spelling of 10088960 in words is "ten million, eighty-eight thousand, nine hundred sixty".