536001664 has 64 divisors (see below), whose sum is σ = 1205150400. Its totient is φ = 235217920.

The previous prime is 536001659. The next prime is 536001671. The reversal of 536001664 is 466100635.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34269 + ... + 47395.

It is an arithmetic number, because the mean of its divisors is an integer number (18830475).

Almost surely, 2^536001664 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 536001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602575200).

536001664 is an abundant number, since it is smaller than the sum of its proper divisors (669148736).

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

536001664 is a wasteful number, since it uses less digits than its factorization.

536001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13181 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 536001664 is about 23151.7097424791. The cubic root of 536001664 is about 812.3104606873.

The spelling of 536001664 in words is "five hundred thirty-six million, one thousand, six hundred sixty-four".