893440 has 40 divisors (see below), whose sum is σ = 2148300. Its totient is φ = 356352.

The previous prime is 893429. The next prime is 893441. The reversal of 893440 is 44398.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 2304 = 944^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 893399 and 893408.

It is not an unprimeable number, because it can be changed into a prime (893441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2386 + ... + 2734.

2⁸⁹³⁴⁴⁰ is an apocalyptic number.

893440 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 893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074150).

893440 is an abundant number, since it is smaller than the sum of its proper divisors (1254860).

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

893440 is an equidigital number, since it uses as much as digits as its factorization.

893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 893440 is about 945.2195512155. The cubic root of 893440 is about 96.3137880417.

The spelling of 893440 in words is "eight hundred ninety-three thousand, four hundred forty".