20507264 has 32 divisors (see below), whose sum is σ = 41199840. Its totient is φ = 10167040.

The previous prime is 20507261. The next prime is 20507269. The reversal of 20507264 is 46270502.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (20507261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16157 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (1287495).

Almost surely, 2^20507264 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 20507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20599920).

20507264 is an abundant number, since it is smaller than the sum of its proper divisors (20692576).

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

20507264 is a wasteful number, since it uses less digits than its factorization.

20507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 20507264 is about 4528.4946726258. The cubic root of 20507264 is about 273.7175059254.

Adding to 20507264 its reverse (46270502), we get a palindrome (66777766).

The spelling of 20507264 in words is "twenty million, five hundred seven thousand, two hundred sixty-four".