20413680 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 4494336.

The previous prime is 20413669. The next prime is 20413699. The reversal of 20413680 is 8631402.

20413680 = T₃₁₀ + T₃₁₁ + ... + T₅₃₃.

It is a happy number.

It is a super-2 number, since 2×20413680² = 833436662284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20413680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48511 + ... + 48929.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^20413680 is an apocalyptic number.

20413680 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 20413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

20413680 is an abundant number, since it is smaller than the sum of its proper divisors (54581520).

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

20413680 is a wasteful number, since it uses less digits than its factorization.

20413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20413680 is about 4518.1500639089. The cubic root of 20413680 is about 273.3005050137.

The spelling of 20413680 in words is "twenty million, four hundred thirteen thousand, six hundred eighty".