20262980 has 48 divisors (see below), whose sum is σ = 45840816. Its totient is φ = 7495680.

The previous prime is 20262973. The next prime is 20262989. The reversal of 20262980 is 8926202.

20262980 = T₁₆₁ + T₁₆₂ + ... + T₅₀₀.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30976 + 20232004 = 176^2 + 4498^2 .

It is not an unprimeable number, because it can be changed into a prime (20262989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20252 + ... + 21228.

It is an arithmetic number, because the mean of its divisors is an integer number (955017).

Almost surely, 2^20262980 is an apocalyptic number.

20262980 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 20262980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22920408).

20262980 is an abundant number, since it is smaller than the sum of its proper divisors (25577836).

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

20262980 is a wasteful number, since it uses less digits than its factorization.

20262980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 20262980 is about 4501.4419911846. The cubic root of 20262980 is about 272.6263140794.

The spelling of 20262980 in words is "twenty million, two hundred sixty-two thousand, nine hundred eighty".