10032864 has 48 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 3261440.

The previous prime is 10032863. The next prime is 10032877. The reversal of 10032864 is 46823001.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2662 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 2^10032864 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 10032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

10032864 is an abundant number, since it is smaller than the sum of its proper divisors (16956336).

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

10032864 is a wasteful number, since it uses less digits than its factorization.

10032864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10032864 is about 3167.4696525776. The cubic root of 10032864 is about 215.6792220707.

Adding to 10032864 its reverse (46823001), we get a palindrome (56855865).

The spelling of 10032864 in words is "ten million, thirty-two thousand, eight hundred sixty-four".