8952064 has 81 divisors (see below), whose sum is σ = 20864641. Its totient is φ = 3829760.

The previous prime is 8952023. The next prime is 8952067. The reversal of 8952064 is 4602598.

It is a happy number.

The square root of 8952064 is 2992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 1982464 = 2640^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8952067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 526584 + ... + 526600.

Almost surely, 2^8952064 is an apocalyptic number.

8952064 is the 2992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8952064

8952064 is an abundant number, since it is smaller than the sum of its proper divisors (11912577).

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

8952064 is a wasteful number, since it uses less digits than its factorization.

8952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The cubic root of 8952064 is about 207.6384250781.

The spelling of 8952064 in words is "eight million, nine hundred fifty-two thousand, sixty-four".