10641672 has 64 divisors (see below), whose sum is σ = 31128000. Its totient is φ = 3359232.

The previous prime is 10641667. The next prime is 10641689. The reversal of 10641672 is 27614601.

10641672 is a `hidden beast` number, since 10 + 641 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×10641672² = 226490365911168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

10641672 is a modest number, since divided by 1672 gives 1064 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2808 + ... + 5400.

It is an arithmetic number, because the mean of its divisors is an integer number (486375).

Almost surely, 2^10641672 is an apocalyptic number.

10641672 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 10641672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15564000).

10641672 is an abundant number, since it is smaller than the sum of its proper divisors (20486328).

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

10641672 is a wasteful number, since it uses less digits than its factorization.

10641672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10641672 is about 3262.1575682361. The cubic root of 10641672 is about 219.9564100966.

The spelling of 10641672 in words is "ten million, six hundred forty-one thousand, six hundred seventy-two".