10023664 has 40 divisors (see below), whose sum is σ = 22919168. Its totient is φ = 4155840.

The previous prime is 10023649. The next prime is 10023667. The reversal of 10023664 is 46632001.

10023664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023667) 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, 2029 + ... + 4915.

Almost surely, 2^10023664 is an apocalyptic number.

10023664 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 10023664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459584).

10023664 is an abundant number, since it is smaller than the sum of its proper divisors (12895504).

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

10023664 is a wasteful number, since it uses less digits than its factorization.

10023664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 10023664 is about 3166.0170561764. The cubic root of 10023664 is about 215.6132769374.

Adding to 10023664 its reverse (46632001), we get a palindrome (56655665).

It can be divided in two parts, 100 and 23664, that multiplied together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 10023664 in words is "ten million, twenty-three thousand, six hundred sixty-four".