20789460 has 120 divisors (see below), whose sum is σ = 67021416. Its totient is φ = 5391360.

The previous prime is 20789443. The next prime is 20789507. The reversal of 20789460 is 6498702.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 18818244 = 1404^2 + 4338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 66264 + ... + 66576.

Almost surely, 2^20789460 is an apocalyptic number.

20789460 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 20789460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33510708).

20789460 is an abundant number, since it is smaller than the sum of its proper divisors (46231956).

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

20789460 is a wasteful number, since it uses less digits than its factorization.

20789460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20789460 is about 4559.5460300341. The cubic root of 20789460 is about 274.9673129193.

The spelling of 20789460 in words is "twenty million, seven hundred eighty-nine thousand, four hundred sixty".