4652064 has 72 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 1494528.

The previous prime is 4652029. The next prime is 4652099. The reversal of 4652064 is 4602564.

It is a happy number.

4652064 is a `hidden beast` number, since 4 + 652 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4652029) and next prime (4652099).

It can be written as a sum of positive squares in 2 ways, for example, as 4410000 + 242064 = 2100^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8074 + ... + 8630.

Almost surely, 2^4652064 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 4652064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855030).

4652064 is an abundant number, since it is smaller than the sum of its proper divisors (9057996).

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

4652064 is a wasteful number, since it uses less digits than its factorization.

4652064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4652064 is about 2156.8643907302. The cubic root of 4652064 is about 166.9354454260.

The spelling of 4652064 in words is "four million, six hundred fifty-two thousand, sixty-four".