20751120 has 160 divisors (see below), whose sum is σ = 77078400. Its totient is φ = 5101056.

The previous prime is 20751119. The next prime is 20751127. The reversal of 20751120 is 2115702.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20751093 and 20751102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20751127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27711 + ... + 28449.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 2^20751120 is an apocalyptic number.

20751120 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 20751120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38539200).

20751120 is an abundant number, since it is smaller than the sum of its proper divisors (56327280).

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

20751120 is a wasteful number, since it uses less digits than its factorization.

20751120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 20751120 is about 4555.3397238845. The cubic root of 20751120 is about 274.7981769868.

Adding to 20751120 its reverse (2115702), we get a palindrome (22866822).

The spelling of 20751120 in words is "twenty million, seven hundred fifty-one thousand, one hundred twenty".