20576160 has 192 divisors, whose sum is σ = 78744960. Its totient is φ = 4976640.

The previous prime is 20576141. The next prime is 20576161. The reversal of 20576160 is 6167502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20576161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47304 + ... + 47736.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^20576160 is an apocalyptic number.

20576160 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 20576160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

20576160 is an abundant number, since it is smaller than the sum of its proper divisors (58168800).

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

20576160 is a wasteful number, since it uses less digits than its factorization.

20576160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20576160 is about 4536.0952370954. The cubic root of 20576160 is about 274.0236894999.

It can be divided in two parts, 20576 and 160, that added together give a 4-th power (20736 = 12⁴).

The spelling of 20576160 in words is "twenty million, five hundred seventy-six thousand, one hundred sixty".