10666240 has 72 divisors (see below), whose sum is σ = 27557208. Its totient is φ = 3932160.

The previous prime is 10666237. The next prime is 10666241. The reversal of 10666240 is 4266601.

10666240 = T₇₂₀ + T₇₂₁ + ... + T₇₅₈.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 9339136 = 1152^2 + 3056^2 .

It is a super-2 number, since 2×10666240² = 227537351475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666241) 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, 16320 + ... + 16960.

It is an arithmetic number, because the mean of its divisors is an integer number (382739).

Almost surely, 2^10666240 is an apocalyptic number.

10666240 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 10666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778604).

10666240 is an abundant number, since it is smaller than the sum of its proper divisors (16890968).

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

10666240 is an equidigital number, since it uses as much as digits as its factorization.

10666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10666240 is about 3265.9210033312. The cubic root of 10666240 is about 220.1255481741.

The spelling of 10666240 in words is "ten million, six hundred sixty-six thousand, two hundred forty".