10197760 has 72 divisors (see below), whose sum is σ = 25312896. Its totient is φ = 3932160.

The previous prime is 10197757. The next prime is 10197799. The reversal of 10197760 is 6779101.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39552 + ... + 39808.

It is an arithmetic number, because the mean of its divisors is an integer number (351568).

Almost surely, 2^10197760 is an apocalyptic number.

10197760 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 10197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656448).

10197760 is an abundant number, since it is smaller than the sum of its proper divisors (15115136).

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

10197760 is an equidigital number, since it uses as much as digits as its factorization.

10197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 31.

The square root of 10197760 is about 3193.3931796758. The cubic root of 10197760 is about 216.8544118907.

The spelling of 10197760 in words is "ten million, one hundred ninety-seven thousand, seven hundred sixty".