10667840 has 112 divisors (see below), whose sum is σ = 28145232. Its totient is φ = 3833856.

The previous prime is 10667819. The next prime is 10667843. The reversal of 10667840 is 4876601.

It can be written as a sum of positive squares in 8 ways, for example, as 1763584 + 8904256 = 1328^2 + 2984^2 .

It is a super-2 number, since 2×10667840² = 227605620531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10667797 and 10667806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10667843) 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, 201254 + ... + 201306.

Almost surely, 2^10667840 is an apocalyptic number.

10667840 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 10667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072616).

10667840 is an abundant number, since it is smaller than the sum of its proper divisors (17477392).

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

10667840 is a wasteful number, since it uses less digits than its factorization.

10667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 10667840 is about 3266.1659480192. The cubic root of 10667840 is about 220.1365543414.

The spelling of 10667840 in words is "ten million, six hundred sixty-seven thousand, eight hundred forty".