897164800 has 480 divisors, whose sum is σ = 2922670080. Its totient is φ = 265420800.

The previous prime is 897164791. The next prime is 897164803. The reversal of 897164800 is 8461798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897164803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28940785 + ... + 28940815.

It is an arithmetic number, because the mean of its divisors is an integer number (6088896).

Almost surely, 2^897164800 is an apocalyptic number.

897164800 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 897164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461335040).

897164800 is an abundant number, since it is smaller than the sum of its proper divisors (2025505280).

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

897164800 is a wasteful number, since it uses less digits than its factorization.

897164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 897164800 is about 29952.7093933086. The cubic root of 897164800 is about 964.4744827647.

The spelling of 897164800 in words is "eight hundred ninety-seven million, one hundred sixty-four thousand, eight hundred".