897600 has 168 divisors, whose sum is σ = 3401568. Its totient is φ = 204800.

The previous prime is 897593. The next prime is 897601. The reversal of 897600 is 6798.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

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 897600.

It is not an unprimeable number, because it can be changed into a prime (897601) by changing a digit.

897600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52792 + ... + 52808.

2⁸⁹⁷⁶⁰⁰ is an apocalyptic number.

897600 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 897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700784).

897600 is an abundant number, since it is smaller than the sum of its proper divisors (2503968).

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

897600 is a wasteful number, since it uses less digits than its factorization.

897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 897600 is about 947.4175425862. The cubic root of 897600 is about 96.4630407831.

The spelling of 897600 in words is "eight hundred ninety-seven thousand, six hundred".