7842564 has 18 divisors (see below), whose sum is σ = 19824350. Its totient is φ = 2614176.

The previous prime is 7842553. The next prime is 7842599. The reversal of 7842564 is 4652487.

7842564 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., 5904900 + 1937664 = 2430^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 217849 = 7842564 / (7 + 8 + 4 + 2 + 5 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108889 + ... + 108960.

Almost surely, 2^7842564 is an apocalyptic number.

It is an amenable number.

7842564 is an abundant number, since it is smaller than the sum of its proper divisors (11981786).

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

7842564 is a wasteful number, since it uses less digits than its factorization.

7842564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217859 (or 217854 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7842564 is about 2800.4578197145. The cubic root of 7842564 is about 198.6793317051.

The spelling of 7842564 in words is "seven million, eight hundred forty-two thousand, five hundred sixty-four".