20882664 has 192 divisors, whose sum is σ = 68947200. Its totient is φ = 5829120.

The previous prime is 20882663. The next prime is 20882669. The reversal of 20882664 is 46628802.

20882664 = T₃₇₆ + T₃₇₇ + ... + T₅₆₂.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20882663) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 444289 + ... + 444335.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^20882664 is an apocalyptic number.

20882664 is a gapful number since it is divisible by the number (24) 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 20882664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

20882664 is an abundant number, since it is smaller than the sum of its proper divisors (48064536).

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

20882664 is a wasteful number, since it uses less digits than its factorization.

20882664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 20882664 is about 4569.7553545020. The cubic root of 20882664 is about 275.3776145768.

The spelling of 20882664 in words is "twenty million, eight hundred eighty-two thousand, six hundred sixty-four".