893820 has 24 divisors (see below), whose sum is σ = 2502864. Its totient is φ = 238336.

The previous prime is 893797. The next prime is 893821. The reversal of 893820 is 28398.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 893820.

It is not an unprimeable number, because it can be changed into a prime (893821) by changing a digit.

893820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7389 + ... + 7508.

It is an arithmetic number, because the mean of its divisors is an integer number (104286).

2⁸⁹³⁸²⁰ is an apocalyptic number.

It is an amenable number.

893820 is an abundant number, since it is smaller than the sum of its proper divisors (1609044).

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

893820 is a wasteful number, since it uses less digits than its factorization.

893820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14909 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 893820 is about 945.4205413465. The cubic root of 893820 is about 96.3274409085.

The spelling of 893820 in words is "eight hundred ninety-three thousand, eight hundred twenty".