897864960 has 144 divisors (see below), whose sum is σ = 2907745344. Its totient is φ = 236077056.

The previous prime is 897864959. The next prime is 897864967. The reversal of 897864960 is 69468798.

It is a super-2 number, since 2×897864960² = 1612322972791603200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 897864960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897864967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278719 + ... + 281921.

It is an arithmetic number, because the mean of its divisors is an integer number (20192676).

Almost surely, 2^897864960 is an apocalyptic number.

897864960 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 897864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453872672).

897864960 is an abundant number, since it is smaller than the sum of its proper divisors (2009880384).

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

897864960 is a wasteful number, since it uses less digits than its factorization.

897864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 897864960 is about 29964.3948712468. The cubic root of 897864960 is about 964.7253139990.

The spelling of 897864960 in words is "eight hundred ninety-seven million, eight hundred sixty-four thousand, nine hundred sixty".