20101560 has 64 divisors (see below), whose sum is σ = 60825600. Its totient is φ = 5314176.

The previous prime is 20101559. The next prime is 20101561. The reversal of 20101560 is 6510102.

It is an interprime number because it is at equal distance from previous prime (20101559) and next prime (20101561).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14581 + ... + 15899.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 2^20101560 is an apocalyptic number.

20101560 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 20101560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30412800).

20101560 is an abundant number, since it is smaller than the sum of its proper divisors (40724040).

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

20101560 is a wasteful number, since it uses less digits than its factorization.

20101560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 20101560 is about 4483.4763298137. The cubic root of 20101560 is about 271.9004465547.

Adding to 20101560 its reverse (6510102), we get a palindrome (26611662).

It can be divided in two parts, 2010 and 1560, that added together give a triangular number (3570 = T₈₄).

The spelling of 20101560 in words is "twenty million, one hundred one thousand, five hundred sixty".