8273664 has 216 divisors, whose sum is σ = 29760640. Its totient is φ = 2239488.

The previous prime is 8273659. The next prime is 8273693. The reversal of 8273664 is 4663728.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435447 + ... + 435465.

Almost surely, 2^8273664 is an apocalyptic number.

8273664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880320).

8273664 is an abundant number, since it is smaller than the sum of its proper divisors (21486976).

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

8273664 is an equidigital number, since it uses as much as digits as its factorization.

8273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 8273664 is about 2876.3977471831. The cubic root of 8273664 is about 202.2550123717.

8273664 divided by its product of digits (48384) gives a palindrome (171).

The spelling of 8273664 in words is "eight million, two hundred seventy-three thousand, six hundred sixty-four".