823416 has 32 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 249440.

The previous prime is 823399. The next prime is 823421. The reversal of 823416 is 614328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

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 823416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

2⁸²³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

823416 is an abundant number, since it is smaller than the sum of its proper divisors (1422984).

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

823416 is a wasteful number, since it uses less digits than its factorization.

823416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3135 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 823416 is about 907.4227239826. The cubic root of 823416 is about 93.7288094328.

The spelling of 823416 in words is "eight hundred twenty-three thousand, four hundred sixteen".