893640 has 64 divisors (see below), whose sum is σ = 2928960. Its totient is φ = 216320.

The previous prime is 893609. The next prime is 893653. The reversal of 893640 is 46398.

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

It is a junction number, because it is equal to n+sod(n) for n = 893598 and 893607.

It is a congruent number.

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, 982 + ... + 1658.

It is an arithmetic number, because the mean of its divisors is an integer number (45765).

2⁸⁹³⁶⁴⁰ 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 893640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464480).

893640 is an abundant number, since it is smaller than the sum of its proper divisors (2035320).

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

893640 is a wasteful number, since it uses less digits than its factorization.

893640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 893640 is about 945.3253408219. The cubic root of 893640 is about 96.3209742436.

The spelling of 893640 in words is "eight hundred ninety-three thousand, six hundred forty".