10820064 has 48 divisors (see below), whose sum is σ = 29106000. Its totient is φ = 3517440.

The previous prime is 10820057. The next prime is 10820081. The reversal of 10820064 is 46002801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10820064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2562 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (606375).

Almost surely, 2^10820064 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 10820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14553000).

10820064 is an abundant number, since it is smaller than the sum of its proper divisors (18285936).

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

10820064 is a wasteful number, since it uses less digits than its factorization.

10820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10820064 is about 3289.3865689517. The cubic root of 10820064 is about 221.1786874772.

Adding to 10820064 its reverse (46002801), we get a palindrome (56822865).

The spelling of 10820064 in words is "ten million, eight hundred twenty thousand, sixty-four".