10350564 has 72 divisors (see below), whose sum is σ = 29111040. Its totient is φ = 2850624.

The previous prime is 10350553. The next prime is 10350589. The reversal of 10350564 is 46505301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16749 + ... + 17355.

It is an arithmetic number, because the mean of its divisors is an integer number (404320).

Almost surely, 2^10350564 is an apocalyptic number.

10350564 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 10350564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555520).

10350564 is an abundant number, since it is smaller than the sum of its proper divisors (18760476).

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

10350564 is a wasteful number, since it uses less digits than its factorization.

10350564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 10350564 is about 3217.2292426869. The cubic root of 10350564 is about 217.9321675441.

Adding to 10350564 its reverse (46505301), we get a palindrome (56855865).

The spelling of 10350564 in words is "ten million, three hundred fifty thousand, five hundred sixty-four".