20085376 has 32 divisors (see below), whose sum is σ = 41104980. Its totient is φ = 9768960.

The previous prime is 20085353. The next prime is 20085383. The reversal of 20085376 is 67358002.

It can be written as a sum of positive squares in 2 ways, for example, as 14440000 + 5645376 = 3800^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×20085376² = 806844658122752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2616 + ... + 6856.

Almost surely, 2^20085376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552490).

20085376 is an abundant number, since it is smaller than the sum of its proper divisors (21019604).

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

20085376 is an equidigital number, since it uses as much as digits as its factorization.

20085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 20085376 is about 4481.6711168938. The cubic root of 20085376 is about 271.8274568911.

The spelling of 20085376 in words is "twenty million, eighty-five thousand, three hundred seventy-six".