20827764 has 36 divisors (see below), whose sum is σ = 53149824. Its totient is φ = 6876432.

The previous prime is 20827757. The next prime is 20827769. The reversal of 20827764 is 46772802.

It is a tau number, because it is divible by the number of its divisors (36).

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 (20827769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1149 + ... + 6555.

It is an arithmetic number, because the mean of its divisors is an integer number (1476384).

Almost surely, 2^20827764 is an apocalyptic number.

It is an amenable number.

20827764 is an abundant number, since it is smaller than the sum of its proper divisors (32322060).

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

20827764 is a wasteful number, since it uses less digits than its factorization.

20827764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20827764 is about 4563.7445151980. The cubic root of 20827764 is about 275.1360825113.

It can be divided in two parts, 208 and 27764, that added together give a palindrome (27972).

The spelling of 20827764 in words is "twenty million, eight hundred twenty-seven thousand, seven hundred sixty-four".