897768 has 48 divisors (see below), whose sum is σ = 2504580. Its totient is φ = 290304.

The previous prime is 897751. The next prime is 897779. The reversal of 897768 is 867798.

It can be written as a sum of positive squares in 2 ways, for example, as 887364 + 10404 = 942^2 + 102^2 .

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 11 ways as a sum of consecutive naturals, for example, 2496 + ... + 2832.

2⁸⁹⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 897768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252290).

897768 is an abundant number, since it is smaller than the sum of its proper divisors (1606812).

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

897768 is a wasteful number, since it uses less digits than its factorization.

897768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 897768 is about 947.5062005074. The cubic root of 897768 is about 96.4690586010.

It can be divided in two parts, 8977 and 68, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 897768 in words is "eight hundred ninety-seven thousand, seven hundred sixty-eight".