6997584 has 80 divisors (see below), whose sum is σ = 20445120. Its totient is φ = 2042880.

The previous prime is 6997579. The next prime is 6997597. The reversal of 6997584 is 4857996.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 6⁸ + 9⁶ + 9⁷ + 7⁴ + 5³ + 8 + 4⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15084 + ... + 15540.

It is an arithmetic number, because the mean of its divisors is an integer number (255564).

Almost surely, 2^6997584 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 6997584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10222560).

6997584 is an abundant number, since it is smaller than the sum of its proper divisors (13447536).

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

6997584 is a wasteful number, since it uses less digits than its factorization.

6997584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 6997584 is about 2645.2946905780. The cubic root of 6997584 is about 191.2711079270.

The spelling of 6997584 in words is "six million, nine hundred ninety-seven thousand, five hundred eighty-four".