7052864 has 84 divisors (see below), whose sum is σ = 17634204. Its totient is φ = 2774016.

The previous prime is 7052833. The next prime is 7052873. The reversal of 7052864 is 4682507.

It can be written as a sum of positive squares in 2 ways, for example, as 3841600 + 3211264 = 1960^2 + 1792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7052864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40682 + ... + 40854.

It is an arithmetic number, because the mean of its divisors is an integer number (209931).

Almost surely, 2^7052864 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 7052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817102).

7052864 is an abundant number, since it is smaller than the sum of its proper divisors (10581340).

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

7052864 is a wasteful number, since it uses less digits than its factorization.

7052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 7052864 is about 2655.7228771090. The cubic root of 7052864 is about 191.7734596626.

The spelling of 7052864 in words is "seven million, fifty-two thousand, eight hundred sixty-four".