7285664 has 48 divisors (see below), whose sum is σ = 15785280. Its totient is φ = 3294720.

The previous prime is 7285661. The next prime is 7285679. The reversal of 7285664 is 4665827.

7285664 = T₂₉₉ + T₃₀₀ + ... + T₄₁₂.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (7285661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13724 + ... + 14244.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 2^7285664 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 7285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892640).

7285664 is an abundant number, since it is smaller than the sum of its proper divisors (8499616).

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

7285664 is a wasteful number, since it uses less digits than its factorization.

7285664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 7285664 is about 2699.1969176035. The cubic root of 7285664 is about 193.8606715616.

The spelling of 7285664 in words is "seven million, two hundred eighty-five thousand, six hundred sixty-four".