20048160 has 96 divisors (see below), whose sum is σ = 68910912. Its totient is φ = 4858880.

The previous prime is 20048153. The next prime is 20048177. The reversal of 20048160 is 6184002.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3382 + ... + 7178.

It is an arithmetic number, because the mean of its divisors is an integer number (717822).

Almost surely, 2^20048160 is an apocalyptic number.

20048160 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 20048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34455456).

20048160 is an abundant number, since it is smaller than the sum of its proper divisors (48862752).

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

20048160 is a wasteful number, since it uses less digits than its factorization.

20048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20048160 is about 4477.5171691463. The cubic root of 20048160 is about 271.6594642643.

The spelling of 20048160 in words is "twenty million, forty-eight thousand, one hundred sixty".