10067664 has 20 divisors (see below), whose sum is σ = 26008256. Its totient is φ = 3355872.

The previous prime is 10067657. The next prime is 10067699. The reversal of 10067664 is 46676001.

10067664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104824 + ... + 104919.

Almost surely, 2^10067664 is an apocalyptic number.

It is an amenable number.

10067664 is an abundant number, since it is smaller than the sum of its proper divisors (15940592).

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

10067664 is a wasteful number, since it uses less digits than its factorization.

10067664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209754 (or 209748 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 10067664 is about 3172.9582411371. The cubic root of 10067664 is about 215.9283026786.

It can be divided in two parts, 10067 and 664, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10067664 in words is "ten million, sixty-seven thousand, six hundred sixty-four".