20577648 has 120 divisors (see below), whose sum is σ = 66693648. Its totient is φ = 5419008.

The previous prime is 20577647. The next prime is 20577659. The reversal of 20577648 is 84677502.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20577647) 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, 30240 + ... + 30912.

Almost surely, 2^20577648 is an apocalyptic number.

20577648 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 20577648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33346824).

20577648 is an abundant number, since it is smaller than the sum of its proper divisors (46116000).

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

20577648 is a wasteful number, since it uses less digits than its factorization.

20577648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 20577648 is about 4536.2592518506. The cubic root of 20577648 is about 274.0302948371.

The spelling of 20577648 in words is "twenty million, five hundred seventy-seven thousand, six hundred forty-eight".