20257776 has 300 divisors, whose sum is σ = 76970520. Its totient is φ = 5080320.

The previous prime is 20257763. The next prime is 20257789. The reversal of 20257776 is 67775202.

It is an interprime number because it is at equal distance from previous prime (20257763) and next prime (20257789).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20257776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 698530 + ... + 698558.

Almost surely, 2^20257776 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 20257776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38485260).

20257776 is an abundant number, since it is smaller than the sum of its proper divisors (56712744).

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

20257776 is a wasteful number, since it uses less digits than its factorization.

20257776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 20257776 is about 4500.8639170719. The cubic root of 20257776 is about 272.6029731754.

It can be divided in two parts, 2025 and 7776, that added together give a square (9801 = 99²).

The spelling of 20257776 in words is "twenty million, two hundred fifty-seven thousand, seven hundred seventy-six".