20752560 has 240 divisors, whose sum is σ = 77182560. Its totient is φ = 4976640.

The previous prime is 20752559. The next prime is 20752583. The reversal of 20752560 is 6525702.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506140 + ... + 506180.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^20752560 is an apocalyptic number.

20752560 is a gapful number since it is divisible by the number (20) 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 20752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38591280).

20752560 is an abundant number, since it is smaller than the sum of its proper divisors (56430000).

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

20752560 is a wasteful number, since it uses less digits than its factorization.

20752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 20752560 is about 4555.4977774114. The cubic root of 20752560 is about 274.8045332738.

It can be divided in two parts, 20752 and 560, that added together give a palindrome (21312).

The spelling of 20752560 in words is "twenty million, seven hundred fifty-two thousand, five hundred sixty".