897111600 has 720 divisors, whose sum is σ = 3891358080. Its totient is φ = 174182400.

The previous prime is 897111599. The next prime is 897111601. The reversal of 897111600 is 6111798.

897111600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (897111599) and next prime (897111601).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897111601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12289164 + ... + 12289236.

It is an arithmetic number, because the mean of its divisors is an integer number (5404664).

Almost surely, 2^897111600 is an apocalyptic number.

897111600 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 897111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945679040).

897111600 is an abundant number, since it is smaller than the sum of its proper divisors (2994246480).

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

897111600 is a wasteful number, since it uses less digits than its factorization.

897111600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 897111600 is about 29951.8213135696. The cubic root of 897111600 is about 964.4554186133.

The spelling of 897111600 in words is "eight hundred ninety-seven million, one hundred eleven thousand, six hundred".