10666040 has 64 divisors (see below), whose sum is σ = 29928960. Its totient is φ = 3323520.

The previous prime is 10666037. The next prime is 10666057. The reversal of 10666040 is 4066601.

10666040 = T₁₅ + T₁₆ + ... + T₃₉₉.

It is a super-2 number, since 2×10666040² = 227528818563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10665997 and 10666015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349 + ... + 4811.

It is an arithmetic number, because the mean of its divisors is an integer number (467640).

Almost surely, 2^10666040 is an apocalyptic number.

10666040 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 10666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964480).

10666040 is an abundant number, since it is smaller than the sum of its proper divisors (19262920).

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

10666040 is a wasteful number, since it uses less digits than its factorization.

10666040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10666040 is about 3265.8903839535. The cubic root of 10666040 is about 220.1241723258.

The spelling of 10666040 in words is "ten million, six hundred sixty-six thousand, forty".