10640672 has 48 divisors (see below), whose sum is σ = 24333120. Its totient is φ = 4485888.

The previous prime is 10640671. The next prime is 10640687. The reversal of 10640672 is 27604601.

It is a super-3 number, since 3×10640672³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14654 + ... + 15362.

It is an arithmetic number, because the mean of its divisors is an integer number (506940).

Almost surely, 2^10640672 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 10640672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166560).

10640672 is an abundant number, since it is smaller than the sum of its proper divisors (13692448).

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

10640672 is an equidigital number, since it uses as much as digits as its factorization.

10640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 10640672 is about 3262.0042918427. The cubic root of 10640672 is about 219.9495200985.

The spelling of 10640672 in words is "ten million, six hundred forty thousand, six hundred seventy-two".