10666590 has 32 divisors (see below), whose sum is σ = 27927936. Its totient is φ = 2585760.

The previous prime is 10666589. The next prime is 10666597. The reversal of 10666590 is 9566601.

10666590 = T₄ + T₅ + ... + T₃₉₉.

It is a super-2 number, since 2×10666590² = 227552284456200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15832 + ... + 16491.

It is an arithmetic number, because the mean of its divisors is an integer number (872748).

Almost surely, 2^10666590 is an apocalyptic number.

10666590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10666590 is an abundant number, since it is smaller than the sum of its proper divisors (17261346).

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

10666590 is a wasteful number, since it uses less digits than its factorization.

10666590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32344.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 10666590 is about 3265.9745865515. The cubic root of 10666590 is about 220.1279558672.

The spelling of 10666590 in words is "ten million, six hundred sixty-six thousand, five hundred ninety".