10097560 has 64 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 3594240.

The previous prime is 10097557. The next prime is 10097573. The reversal of 10097560 is 6579001.

It is a happy number.

It is a congruent number.

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, 23104 + ... + 23536.

Almost surely, 2^10097560 is an apocalyptic number.

10097560 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 10097560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

10097560 is an abundant number, since it is smaller than the sum of its proper divisors (15213320).

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

10097560 is a wasteful number, since it uses less digits than its factorization.

10097560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 10097560 is about 3177.6658099932. The cubic root of 10097560 is about 216.1418250104.

The spelling of 10097560 in words is "ten million, ninety-seven thousand, five hundred sixty".