7182864 has 80 divisors (see below), whose sum is σ = 22220800. Its totient is φ = 2208384.

The previous prime is 7182863. The next prime is 7182883. The reversal of 7182864 is 4682817.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7182863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4977 + ... + 6255.

It is an arithmetic number, because the mean of its divisors is an integer number (277760).

Almost surely, 2^7182864 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 7182864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110400).

7182864 is an abundant number, since it is smaller than the sum of its proper divisors (15037936).

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

7182864 is a wasteful number, since it uses less digits than its factorization.

7182864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1297 counting only the distinct ones).

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

The square root of 7182864 is about 2680.0865657661. The cubic root of 7182864 is about 192.9445642463.

The spelling of 7182864 in words is "seven million, one hundred eighty-two thousand, eight hundred sixty-four".