20535264 has 72 divisors (see below), whose sum is σ = 59007312. Its totient is φ = 6773760.

The previous prime is 20535253. The next prime is 20535271. The reversal of 20535264 is 46253502.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32229 + ... + 32859.

It is an arithmetic number, because the mean of its divisors is an integer number (819546).

Almost surely, 2^20535264 is an apocalyptic number.

20535264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20535264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29503656).

20535264 is an abundant number, since it is smaller than the sum of its proper divisors (38472048).

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

20535264 is a wasteful number, since it uses less digits than its factorization.

20535264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 20535264 is about 4531.5851531225. The cubic root of 20535264 is about 273.8420244814.

Adding to 20535264 its reverse (46253502), we get a palindrome (66788766).

The spelling of 20535264 in words is "twenty million, five hundred thirty-five thousand, two hundred sixty-four".