7284816 has 200 divisors, whose sum is σ = 26647104. Its totient is φ = 1866240.

The previous prime is 7284811. The next prime is 7284817. The reversal of 7284816 is 6184827.

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.

Its product of digits (21504) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7284811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99756 + ... + 99828.

Almost surely, 2^7284816 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 7284816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323552).

7284816 is an abundant number, since it is smaller than the sum of its proper divisors (19362288).

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

7284816 is a wasteful number, since it uses less digits than its factorization.

7284816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7284816 is about 2699.0398292726. The cubic root of 7284816 is about 193.8531499307.

It can be divided in two parts, 7284 and 816, that added together give a square (8100 = 90²).

The spelling of 7284816 in words is "seven million, two hundred eighty-four thousand, eight hundred sixteen".