20488680 has 128 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 5356800.

The previous prime is 20488673. The next prime is 20488717. The reversal of 20488680 is 8688402.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65725 + ... + 66035.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 2^20488680 is an apocalyptic number.

20488680 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 20488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

20488680 is an abundant number, since it is smaller than the sum of its proper divisors (49149720).

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

20488680 is a wasteful number, since it uses less digits than its factorization.

20488680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20488680 is about 4526.4423115732. The cubic root of 20488680 is about 273.6347985902.

The spelling of 20488680 in words is "twenty million, four hundred eighty-eight thousand, six hundred eighty".