7284264 has 64 divisors (see below), whose sum is σ = 20173440. Its totient is φ = 2177280.

The previous prime is 7284259. The next prime is 7284293. The reversal of 7284264 is 4624827.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11229 + ... + 11859.

It is an arithmetic number, because the mean of its divisors is an integer number (315210).

Almost surely, 2^7284264 is an apocalyptic number.

7284264 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

7284264 is the 1443-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7284264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10086720).

7284264 is an abundant number, since it is smaller than the sum of its proper divisors (12889176).

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

7284264 is a wasteful number, since it uses less digits than its factorization.

7284264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 7284264 is about 2698.9375687481. The cubic root of 7284264 is about 193.8482534610.

The spelling of 7284264 in words is "seven million, two hundred eighty-four thousand, two hundred sixty-four".