20967040 has 48 divisors (see below), whose sum is σ = 50402790. Its totient is φ = 8340480.

The previous prime is 20966993. The next prime is 20967041. The reversal of 20967040 is 4076902.

It can be written as a sum of positive squares in 3 ways, for example, as 3594816 + 17372224 = 1896^2 + 4168^2 .

It is not an unprimeable number, because it can be changed into a prime (20967041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115750 + ... + 115930.

Almost surely, 2^20967040 is an apocalyptic number.

20967040 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 20967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25201395).

20967040 is an abundant number, since it is smaller than the sum of its proper divisors (29435750).

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

20967040 is an frugal number, since it uses more digits than its factorization.

20967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 20967040 is about 4578.9780519238. The cubic root of 20967040 is about 275.7480021511.

The spelling of 20967040 in words is "twenty million, nine hundred sixty-seven thousand, forty".