20678580 has 72 divisors (see below), whose sum is σ = 67557672. Its totient is φ = 5089536.

The previous prime is 20678569. The next prime is 20678591. The reversal of 20678580 is 8587602.

20678580 is a `hidden beast` number, since 2 + 0 + 6 + 78 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (20678569) and next prime (20678591).

It can be written as a sum of positive squares in 4 ways, for example, as 4901796 + 15776784 = 2214^2 + 3972^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2079 + ... + 6758.

It is an arithmetic number, because the mean of its divisors is an integer number (938301).

Almost surely, 2^20678580 is an apocalyptic number.

20678580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20678580 is an abundant number, since it is smaller than the sum of its proper divisors (46879092).

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

20678580 is a wasteful number, since it uses less digits than its factorization.

20678580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20678580 is about 4547.3706688591. The cubic root of 20678580 is about 274.4775977816.

The spelling of 20678580 in words is "twenty million, six hundred seventy-eight thousand, five hundred eighty".