20275680 has 96 divisors (see below), whose sum is σ = 65155104. Its totient is φ = 5298176.

The previous prime is 20275663. The next prime is 20275687. The reversal of 20275680 is 8657202.

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

It is a super-2 number, since 2×20275680² = 822206398924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20275687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25042 + ... + 25838.

It is an arithmetic number, because the mean of its divisors is an integer number (678699).

Almost surely, 2^20275680 is an apocalyptic number.

20275680 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 20275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577552).

20275680 is an abundant number, since it is smaller than the sum of its proper divisors (44879424).

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

20275680 is a wasteful number, since it uses less digits than its factorization.

20275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 20275680 is about 4502.8524292941. The cubic root of 20275680 is about 272.6832591600.

The spelling of 20275680 in words is "twenty million, two hundred seventy-five thousand, six hundred eighty".