20130768 has 150 divisors (see below), whose sum is σ = 67990626. Its totient is φ = 5733504.

The previous prime is 20130767. The next prime is 20130769. The reversal of 20130768 is 86703102.

It is an interprime number because it is at equal distance from previous prime (20130767) and next prime (20130769).

It can be written as a sum of positive squares in only one way, i.e., 12446784 + 7683984 = 3528^2 + 2772^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130767) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63346 + ... + 63662.

Almost surely, 2^20130768 is an apocalyptic number.

20130768 is a gapful number since it is divisible by the number (28) 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 20130768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33995313).

20130768 is an abundant number, since it is smaller than the sum of its proper divisors (47859858).

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

20130768 is a wasteful number, since it uses less digits than its factorization.

20130768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20130768 is about 4486.7324413207. The cubic root of 20130768 is about 272.0320752255.

The spelling of 20130768 in words is "twenty million, one hundred thirty thousand, seven hundred sixty-eight".