893085696 has 192 divisors, whose sum is σ = 2736115200. Its totient is φ = 287539200.

The previous prime is 893085673. The next prime is 893085731. The reversal of 893085696 is 696580398.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713916 + ... + 1714436.

It is an arithmetic number, because the mean of its divisors is an integer number (14250600).

Almost surely, 2^893085696 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 893085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368057600).

893085696 is an abundant number, since it is smaller than the sum of its proper divisors (1843029504).

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

893085696 is a wasteful number, since it uses less digits than its factorization.

893085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 893085696 is about 29884.5394142189. The cubic root of 893085696 is about 963.0105490833.

The spelling of 893085696 in words is "eight hundred ninety-three million, eighty-five thousand, six hundred ninety-six".