814416 has 60 divisors (see below), whose sum is σ = 2267712. Its totient is φ = 251712.

The previous prime is 814403. The next prime is 814423. The reversal of 814416 is 614418.

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.

Its product of digits (768) is a multiple of the sum of its prime factors (96).

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 814416.

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, 17305 + ... + 17351.

2⁸¹⁴⁴¹⁶ 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 814416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133856).

814416 is an abundant number, since it is smaller than the sum of its proper divisors (1453296).

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

814416 is a wasteful number, since it uses less digits than its factorization.

814416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 814416 is about 902.4499986149. The cubic root of 814416 is about 93.3860699696.

The spelling of 814416 in words is "eight hundred fourteen thousand, four hundred sixteen".