10020564 has 96 divisors (see below), whose sum is σ = 27847680. Its totient is φ = 3110400.

The previous prime is 10020559. The next prime is 10020613. The reversal of 10020564 is 46502001.

It is a happy number.

10020564 is a `hidden beast` number, since 100 + 2 + 0 + 564 = 666.

10020564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137232 + ... + 137304.

It is an arithmetic number, because the mean of its divisors is an integer number (290080).

Almost surely, 2^10020564 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 10020564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923840).

10020564 is an abundant number, since it is smaller than the sum of its proper divisors (17827116).

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

10020564 is a wasteful number, since it uses less digits than its factorization.

10020564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10020564 is about 3165.5274442026. The cubic root of 10020564 is about 215.5910472060.

Adding to 10020564 its reverse (46502001), we get a palindrome (56522565).

The spelling of 10020564 in words is "ten million, twenty thousand, five hundred sixty-four".