10052664 has 16 divisors (see below), whose sum is σ = 25131720. Its totient is φ = 3350880.

The previous prime is 10052663. The next prime is 10052681. The reversal of 10052664 is 46625001.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 418861 = 10052664 / (1 + 0 + 0 + 5 + 2 + 6 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209407 + ... + 209454.

Almost surely, 2^10052664 is an apocalyptic number.

It is an amenable number.

10052664 is an abundant number, since it is smaller than the sum of its proper divisors (15079056).

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

10052664 is a wasteful number, since it uses less digits than its factorization.

10052664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418870 (or 418866 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10052664 is about 3170.5936352677. The cubic root of 10052664 is about 215.8210108431.

Adding to 10052664 its reverse (46625001), we get a palindrome (56677665).

The spelling of 10052664 in words is "ten million, fifty-two thousand, six hundred sixty-four".