20102568 has 64 divisors (see below), whose sum is σ = 55080000. Its totient is φ = 6085632.

The previous prime is 20102567. The next prime is 20102569. The reversal of 20102568 is 86520102.

It is an interprime number because it is at equal distance from previous prime (20102567) and next prime (20102569).

It is a super-2 number, since 2×20102568² = 808226480389248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20102567) 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, 10983 + ... + 12681.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 2^20102568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540000).

20102568 is an abundant number, since it is smaller than the sum of its proper divisors (34977432).

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

20102568 is a wasteful number, since it uses less digits than its factorization.

20102568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 20102568 is about 4483.5887411760. The cubic root of 20102568 is about 271.9049913275.

The spelling of 20102568 in words is "twenty million, one hundred two thousand, five hundred sixty-eight".