10672820 has 12 divisors (see below), whose sum is σ = 22412964. Its totient is φ = 4269120.

The previous prime is 10672817. The next prime is 10672829. The reversal of 10672820 is 2827601.

10672820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5885476 + 4787344 = 2426^2 + 2188^2 .

It is a super-2 number, since 2×10672820² = 227818173504800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10672820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672829) 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, 266801 + ... + 266840.

It is an arithmetic number, because the mean of its divisors is an integer number (1867747).

Almost surely, 2^10672820 is an apocalyptic number.

10672820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10672820 is an abundant number, since it is smaller than the sum of its proper divisors (11740144).

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

10672820 is a wasteful number, since it uses less digits than its factorization.

10672820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533650 (or 533648 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10672820 is about 3266.9282208215. The cubic root of 10672820 is about 220.1708039957.

The spelling of 10672820 in words is "ten million, six hundred seventy-two thousand, eight hundred twenty".