897120 has 144 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 202752.

The previous prime is 897119. The next prime is 897133. The reversal of 897120 is 21798.

897120 = T₄₁ + T₄₂ + ... + T₁₇₅.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 897120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10036 + ... + 10124.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁸⁹⁷¹²⁰ is an apocalyptic number.

897120 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 897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

897120 is an abundant number, since it is smaller than the sum of its proper divisors (2640960).

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

897120 is a wasteful number, since it uses less digits than its factorization.

897120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 897120 is about 947.1641885122. The cubic root of 897120 is about 96.4458428793.

The spelling of 897120 in words is "eight hundred ninety-seven thousand, one hundred twenty".