20625264 has 120 divisors (see below), whose sum is σ = 65286000. Its totient is φ = 6021120.

The previous prime is 20625263. The next prime is 20625271. The reversal of 20625264 is 46252602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20625263) 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, 45712 + ... + 46160.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 2^20625264 is an apocalyptic number.

20625264 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 20625264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643000).

20625264 is an abundant number, since it is smaller than the sum of its proper divisors (44660736).

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

20625264 is a wasteful number, since it uses less digits than its factorization.

20625264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20625264 is about 4541.5045964966. The cubic root of 20625264 is about 274.2414977087.

Adding to 20625264 its reverse (46252602), we get a palindrome (66877866).

The spelling of 20625264 in words is "twenty million, six hundred twenty-five thousand, two hundred sixty-four".