893040 has 60 divisors (see below), whose sum is σ = 2814552. Its totient is φ = 234240.

The previous prime is 893033. The next prime is 893041. The reversal of 893040 is 40398.

893040 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 893040.

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 893040.

It is not an unprimeable number, because it can be changed into a prime (893041) by changing a digit.

893040 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 11 ways as a sum of consecutive naturals, for example, 14610 + ... + 14670.

2⁸⁹³⁰⁴⁰ is an apocalyptic number.

893040 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 893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407276).

893040 is an abundant number, since it is smaller than the sum of its proper divisors (1921512).

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

893040 is a wasteful number, since it uses less digits than its factorization.

893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 893040 is about 945.0079364746. The cubic root of 893040 is about 96.2994124202.

The spelling of 893040 in words is "eight hundred ninety-three thousand, forty".