10668672 has 192 divisors, whose sum is σ = 37128000. Its totient is φ = 3048192.

The previous prime is 10668659. The next prime is 10668703. The reversal of 10668672 is 27686601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10668672² = 227641124487168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524093 + ... + 1524099.

It is an arithmetic number, because the mean of its divisors is an integer number (193375).

Almost surely, 2^10668672 is an apocalyptic number.

10668672 is a gapful number since it is divisible by the number (12) 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 10668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564000).

10668672 is an abundant number, since it is smaller than the sum of its proper divisors (26459328).

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

10668672 is an frugal number, since it uses more digits than its factorization.

10668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10668672 is about 3266.2933119976. The cubic root of 10668672 is about 220.1422771135.

Multiplying 10668672 by its product of nonzero digits (24192), we get a square (258096513024 = 508032²).

10668672 divided by its product of nonzero digits (24192) gives a square (441 = 21²).

The spelling of 10668672 in words is "ten million, six hundred sixty-eight thousand, six hundred seventy-two".