20756064 has 96 divisors (see below), whose sum is σ = 63334656. Its totient is φ = 5829120.

The previous prime is 20756063. The next prime is 20756089. The reversal of 20756064 is 46065702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20756063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44794 + ... + 45254.

It is an arithmetic number, because the mean of its divisors is an integer number (659736).

Almost surely, 2^20756064 is an apocalyptic number.

20756064 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 20756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31667328).

20756064 is an abundant number, since it is smaller than the sum of its proper divisors (42578592).

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

20756064 is a wasteful number, since it uses less digits than its factorization.

20756064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 20756064 is about 4555.8823514222. The cubic root of 20756064 is about 274.8199990106.

The spelling of 20756064 in words is "twenty million, seven hundred fifty-six thousand, sixty-four".