10667540 has 48 divisors (see below), whose sum is σ = 24449040. Its totient is φ = 3886080.

The previous prime is 10667521. The next prime is 10667549. The reversal of 10667540 is 4576601.

It can be written as a sum of positive squares in 8 ways, for example, as 2669956 + 7997584 = 1634^2 + 2828^2 .

It is a super-2 number, since 2×10667540² = 227592819303200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10667549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22910 + ... + 23370.

It is an arithmetic number, because the mean of its divisors is an integer number (509355).

Almost surely, 2^10667540 is an apocalyptic number.

10667540 is a gapful number since it is divisible by the number (10) 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 10667540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224520).

10667540 is an abundant number, since it is smaller than the sum of its proper divisors (13781500).

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

10667540 is a wasteful number, since it uses less digits than its factorization.

10667540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 10667540 is about 3266.1200222894. The cubic root of 10667540 is about 220.1344907689.

The spelling of 10667540 in words is "ten million, six hundred sixty-seven thousand, five hundred forty".