816672 has 48 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 264960.

The previous prime is 816667. The next prime is 816689. The reversal of 816672 is 276618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 816672.

It is an unprimeable number.

816672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4422 + ... + 4602.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2⁸¹⁶⁶⁷² 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 816672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

816672 is an abundant number, since it is smaller than the sum of its proper divisors (1384800).

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

816672 is a wasteful number, since it uses less digits than its factorization.

816672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 816672 is about 903.6990649547. The cubic root of 816672 is about 93.4722195295.

The spelling of 816672 in words is "eight hundred sixteen thousand, six hundred seventy-two".