536656064 has 112 divisors (see below), whose sum is σ = 1301617920. Its totient is φ = 214410240.

The previous prime is 536656031. The next prime is 536656067. The reversal of 536656064 is 460656635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (536656067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569834 + ... + 570774.

Almost surely, 2^536656064 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 536656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650808960).

536656064 is an abundant number, since it is smaller than the sum of its proper divisors (764961856).

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

536656064 is a wasteful number, since it uses less digits than its factorization.

536656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The square root of 536656064 is about 23165.8382969406. The cubic root of 536656064 is about 812.6409072857.

The spelling of 536656064 in words is "five hundred thirty-six million, six hundred fifty-six thousand, sixty-four".