20577312 has 144 divisors (see below), whose sum is σ = 68402880. Its totient is φ = 5746176.

The previous prime is 20577311. The next prime is 20577317. The reversal of 20577312 is 21377502.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (20577311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118858 + ... + 119030.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 2^20577312 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 20577312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34201440).

20577312 is an abundant number, since it is smaller than the sum of its proper divisors (47825568).

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

20577312 is a wasteful number, since it uses less digits than its factorization.

20577312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 20577312 is about 4536.2222167791. Note that the first 4 decimals coincide. The cubic root of 20577312 is about 274.0288033371.

The spelling of 20577312 in words is "twenty million, five hundred seventy-seven thousand, three hundred twelve".