20825766 has 48 divisors (see below), whose sum is σ = 49423920. Its totient is φ = 6298560.

The previous prime is 20825737. The next prime is 20825771. The reversal of 20825766 is 66752802.

20825766 is a `hidden beast` number, since 2 + 0 + 82 + 576 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20825766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13545 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (1029665).

Almost surely, 2^20825766 is an apocalyptic number.

20825766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20825766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711960).

20825766 is an abundant number, since it is smaller than the sum of its proper divisors (28598154).

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

20825766 is a wasteful number, since it uses less digits than its factorization.

20825766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 20825766 is about 4563.5256107532. The cubic root of 20825766 is about 275.1272843278.

The spelling of 20825766 in words is "twenty million, eight hundred twenty-five thousand, seven hundred sixty-six".