889416 has 48 divisors (see below), whose sum is σ = 2630160. Its totient is φ = 269280.

The previous prime is 889411. The next prime is 889429. The reversal of 889416 is 614988.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (889411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (54795).

2⁸⁸⁹⁴¹⁶ 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 889416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315080).

889416 is an abundant number, since it is smaller than the sum of its proper divisors (1740744).

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

889416 is a wasteful number, since it uses less digits than its factorization.

889416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 889416 is about 943.0885430329. The cubic root of 889416 is about 96.1689732426.

The spelling of 889416 in words is "eight hundred eighty-nine thousand, four hundred sixteen".