10420564 has 48 divisors (see below), whose sum is σ = 23740416. Its totient is φ = 3880800.

The previous prime is 10420559. The next prime is 10420573. The reversal of 10420564 is 46502401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6349 + ... + 7819.

It is an arithmetic number, because the mean of its divisors is an integer number (494592).

Almost surely, 2^10420564 is an apocalyptic number.

10420564 is a gapful number since it is divisible by the number (14) 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 10420564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870208).

10420564 is an abundant number, since it is smaller than the sum of its proper divisors (13319852).

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

10420564 is a wasteful number, since it uses less digits than its factorization.

10420564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 10420564 is about 3228.0898376594. The cubic root of 10420564 is about 218.4223498620.

Adding to 10420564 its reverse (46502401), we get a palindrome (56922965).

The spelling of 10420564 in words is "ten million, four hundred twenty thousand, five hundred sixty-four".