997560 has 96 divisors (see below), whose sum is σ = 3453840. Its totient is φ = 248832.

The previous prime is 997553. The next prime is 997573. The reversal of 997560 is 65799.

997560 is a `hidden beast` number, since 9 + 97 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6039 + ... + 6201.

2⁹⁹⁷⁵⁶⁰ is an apocalyptic number.

997560 is a gapful number since it is divisible by the number (90) 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 997560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726920).

997560 is an abundant number, since it is smaller than the sum of its proper divisors (2456280).

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

997560 is a wasteful number, since it uses less digits than its factorization.

997560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 997560 is about 998.7792548907. The cubic root of 997560 is about 99.9186004257.

The spelling of 997560 in words is "nine hundred ninety-seven thousand, five hundred sixty".