893916 has 60 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 285120.

The previous prime is 893903. The next prime is 893917. The reversal of 893916 is 619398.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893917) by changing a digit.

893916 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 19 ways as a sum of consecutive naturals, for example, 10000 + ... + 10088.

It is an arithmetic number, because the mean of its divisors is an integer number (40656).

2⁸⁹³⁹¹⁶ 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 893916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219680).

893916 is an abundant number, since it is smaller than the sum of its proper divisors (1545444).

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

893916 is a wasteful number, since it uses less digits than its factorization.

893916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 893916 is about 945.4713110402. The cubic root of 893916 is about 96.3308894415.

It can be divided in two parts, 89 and 3916, that added together give a triangular number (4005 = T₈₉).

The spelling of 893916 in words is "eight hundred ninety-three thousand, nine hundred sixteen".