6573216 has 96 divisors (see below), whose sum is σ = 19474560. Its totient is φ = 1926144.

The previous prime is 6573197. The next prime is 6573223. The reversal of 6573216 is 6123756.

6573216 = T₂₇₅ + T₂₇₆ + ... + T₃₉₁.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (7560) is a multiple of the sum of its prime divisors (270).

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, 28590 + ... + 28818.

It is an arithmetic number, because the mean of its divisors is an integer number (202860).

Almost surely, 2^6573216 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 6573216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737280).

6573216 is an abundant number, since it is smaller than the sum of its proper divisors (12901344).

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

6573216 is a wasteful number, since it uses less digits than its factorization.

6573216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 6573216 is about 2563.8283873926. The cubic root of 6573216 is about 187.3236599855.

Subtracting from 6573216 its product of digits (7560), we obtain a palindrome (6565656).

The spelling of 6573216 in words is "six million, five hundred seventy-three thousand, two hundred sixteen".