853416 has 48 divisors (see below), whose sum is σ = 2402400. Its totient is φ = 283824.

The previous prime is 853403. The next prime is 853427. The reversal of 853416 is 614358.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 853416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1725 + ... + 2163.

It is an arithmetic number, because the mean of its divisors is an integer number (50050).

2⁸⁵³⁴¹⁶ 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 853416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201200).

853416 is an abundant number, since it is smaller than the sum of its proper divisors (1548984).

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

853416 is a wasteful number, since it uses less digits than its factorization.

853416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 853416 is about 923.8051742657. The cubic root of 853416 is about 94.8535509012.

The spelling of 853416 in words is "eight hundred fifty-three thousand, four hundred sixteen".