812416 has 32 divisors (see below), whose sum is σ = 1768680. Its totient is φ = 368640.

The previous prime is 812401. The next prime is 812431. The reversal of 812416 is 614218.

It is an interprime number because it is at equal distance from previous prime (812401) and next prime (812431).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1120 + ... + 1696.

2⁸¹²⁴¹⁶ 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 812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884340).

812416 is an abundant number, since it is smaller than the sum of its proper divisors (956264).

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

812416 is a wasteful number, since it uses less digits than its factorization.

812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 590 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 812416 is about 901.3412228452. The cubic root of 812416 is about 93.3095631077.

The spelling of 812416 in words is "eight hundred twelve thousand, four hundred sixteen".