7604864 has 64 divisors (see below), whose sum is σ = 16524000. Its totient is φ = 3474432.

The previous prime is 7604843. The next prime is 7604867. The reversal of 7604864 is 4684067.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7604867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128867 + ... + 128925.

Almost surely, 2^7604864 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 7604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262000).

7604864 is an abundant number, since it is smaller than the sum of its proper divisors (8919136).

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

7604864 is a wasteful number, since it uses less digits than its factorization.

7604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 7604864 is about 2757.6917884347. The cubic root of 7604864 is about 196.6514489167.

The spelling of 7604864 in words is "seven million, six hundred four thousand, eight hundred sixty-four".