10068864 has 64 divisors (see below), whose sum is σ = 28817040. Its totient is φ = 3096576.

The previous prime is 10068859. The next prime is 10068907. The reversal of 10068864 is 46886001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3984 + ... + 6000.

Almost surely, 2^10068864 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 10068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408520).

10068864 is an abundant number, since it is smaller than the sum of its proper divisors (18748176).

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

10068864 is a wasteful number, since it uses less digits than its factorization.

10068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10068864 is about 3173.1473334845. The cubic root of 10068864 is about 215.9368814204.

It can be divided in two parts, 1006 and 8864, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 10068864 in words is "ten million, sixty-eight thousand, eight hundred sixty-four".