20458680 has 96 divisors (see below), whose sum is σ = 67510800. Its totient is φ = 4956160.

The previous prime is 20458673. The next prime is 20458681. The reversal of 20458680 is 8685402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20458681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13816 + ... + 15224.

Almost surely, 2^20458680 is an apocalyptic number.

20458680 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 20458680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33755400).

20458680 is an abundant number, since it is smaller than the sum of its proper divisors (47052120).

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

20458680 is a wasteful number, since it uses less digits than its factorization.

20458680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 20458680 is about 4523.1272367688. The cubic root of 20458680 is about 273.5011792152.

The spelling of 20458680 in words is "twenty million, four hundred fifty-eight thousand, six hundred eighty".