893412 has 72 divisors (see below), whose sum is σ = 2568384. Its totient is φ = 259776.

The previous prime is 893407. The next prime is 893413. The reversal of 893412 is 214398.

893412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

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 893412.

It is not an unprimeable number, because it can be changed into a prime (893413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10723 + ... + 10805.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2⁸⁹³⁴¹² 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 893412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284192).

893412 is an abundant number, since it is smaller than the sum of its proper divisors (1674972).

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

893412 is a wasteful number, since it uses less digits than its factorization.

893412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 893412 is about 945.2047397257. The cubic root of 893412 is about 96.3127818879.

The spelling of 893412 in words is "eight hundred ninety-three thousand, four hundred twelve".