20085408 has 192 divisors, whose sum is σ = 69431040. Its totient is φ = 5598720.

The previous prime is 20085397. The next prime is 20085467. The reversal of 20085408 is 80458002.

It is a super-2 number, since 2×20085408² = 806847229052928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 489868 + ... + 489908.

It is an arithmetic number, because the mean of its divisors is an integer number (361620).

Almost surely, 2^20085408 is an apocalyptic number.

20085408 is a gapful number since it is divisible by the number (28) 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 20085408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34715520).

20085408 is an abundant number, since it is smaller than the sum of its proper divisors (49345632).

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

20085408 is an frugal number, since it uses more digits than its factorization.

20085408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20085408 is about 4481.6746869892. The cubic root of 20085408 is about 271.8276012495.

The spelling of 20085408 in words is "twenty million, eighty-five thousand, four hundred eight".