7652064 has 96 divisors (see below), whose sum is σ = 23466240. Its totient is φ = 2138112.

The previous prime is 7652059. The next prime is 7652083. The reversal of 7652064 is 4602567.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39552 + ... + 39744.

It is an arithmetic number, because the mean of its divisors is an integer number (244440).

Almost surely, 2^7652064 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 7652064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733120).

7652064 is an abundant number, since it is smaller than the sum of its proper divisors (15814176).

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

7652064 is a wasteful number, since it uses less digits than its factorization.

7652064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 7652064 is about 2766.2364324114. The cubic root of 7652064 is about 197.0574527303.

The spelling of 7652064 in words is "seven million, six hundred fifty-two thousand, sixty-four".