7864560 has 160 divisors (see below), whose sum is σ = 29640960. Its totient is φ = 1900800.

The previous prime is 7864501. The next prime is 7864573. The reversal of 7864560 is 654687.

It is a happy number.

7864560 is a `hidden beast` number, since 7 + 8 + 645 + 6 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23595 + ... + 23925.

It is an arithmetic number, because the mean of its divisors is an integer number (185256).

Almost surely, 2^7864560 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 7864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820480).

7864560 is an abundant number, since it is smaller than the sum of its proper divisors (21776400).

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

7864560 is a wasteful number, since it uses less digits than its factorization.

7864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

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

The square root of 7864560 is about 2804.3822849248. The cubic root of 7864560 is about 198.8649032983.

The spelling of 7864560 in words is "seven million, eight hundred sixty-four thousand, five hundred sixty".