893097216 has 216 divisors, whose sum is σ = 2841078240. Its totient is φ = 267571200.

The previous prime is 893097211. The next prime is 893097217. The reversal of 893097216 is 612790398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893097211) 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 23 ways as a sum of consecutive naturals, for example, 3319930 + ... + 3320198.

It is an arithmetic number, because the mean of its divisors is an integer number (13153140).

Almost surely, 2^893097216 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 893097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420539120).

893097216 is an abundant number, since it is smaller than the sum of its proper divisors (1947981024).

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

893097216 is a wasteful number, since it uses less digits than its factorization.

893097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 893097216 is about 29884.7321554000. The cubic root of 893097216 is about 963.0146897213.

The spelling of 893097216 in words is "eight hundred ninety-three million, ninety-seven thousand, two hundred sixteen".