10673664 has 40 divisors (see below), whose sum is σ = 28439400. Its totient is φ = 3557376.

The previous prime is 10673659. The next prime is 10673669. The reversal of 10673664 is 46637601.

It is an interprime number because it is at equal distance from previous prime (10673659) and next prime (10673669).

It is a super-2 number, since 2×10673664² = 227854206369792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673669) 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, 1939 + ... + 5010.

It is an arithmetic number, because the mean of its divisors is an integer number (710985).

Almost surely, 2^10673664 is an apocalyptic number.

It is an amenable number.

10673664 is an abundant number, since it is smaller than the sum of its proper divisors (17765736).

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

10673664 is an frugal number, since it uses more digits than its factorization.

10673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 10673664 is about 3267.0573915987. The cubic root of 10673664 is about 220.1766074997.

The spelling of 10673664 in words is "ten million, six hundred seventy-three thousand, six hundred sixty-four".