7560864 has 60 divisors (see below), whose sum is σ = 22243914. Its totient is φ = 2519424.

The previous prime is 7560863. The next prime is 7560871. The reversal of 7560864 is 4680657.

It is a happy number.

7560864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 3640464 = 1980^2 + 1908^2 .

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 (7560863) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1134 + ... + 4050.

Almost surely, 2^7560864 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 7560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11121957).

7560864 is an abundant number, since it is smaller than the sum of its proper divisors (14683050).

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

7560864 is a wasteful number, since it uses less digits than its factorization.

7560864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7560864 is about 2749.7025293657. The cubic root of 7560864 is about 196.2714550495.

The spelling of 7560864 in words is "seven million, five hundred sixty thousand, eight hundred sixty-four".