64290528 has 144 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 19595520.

The previous prime is 64290521. The next prime is 64290557. The reversal of 64290528 is 82509246.

It is a happy number.

64290528 is a `hidden beast` number, since 6 + 42 + 90 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64290492 and 64290501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64290521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169443 + ... + 169821.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 2^64290528 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 64290528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400).

64290528 is an abundant number, since it is smaller than the sum of its proper divisors (134890272).

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

64290528 is a wasteful number, since it uses less digits than its factorization.

64290528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64290528 is about 8018.1374395803. The cubic root of 64290528 is about 400.6043531001.

The spelling of 64290528 in words is "sixty-four million, two hundred ninety thousand, five hundred twenty-eight".