852416 has 28 divisors (see below), whose sum is σ = 1783080. Its totient is φ = 403200.

The previous prime is 852409. The next prime is 852427. The reversal of 852416 is 614258.

It is a super-2 number, since 2×852416² = 1453226074112, which contains 22 as substring.

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 852416.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 866 + ... + 1566.

2⁸⁵²⁴¹⁶ 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 852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891540).

852416 is an abundant number, since it is smaller than the sum of its proper divisors (930664).

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

852416 is a wasteful number, since it uses less digits than its factorization.

852416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 722 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 852416 is about 923.2637759600. The cubic root of 852416 is about 94.8164878418.

The spelling of 852416 in words is "eight hundred fifty-two thousand, four hundred sixteen".