10506664 has 32 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 4481856.

The previous prime is 10506659. The next prime is 10506673. The reversal of 10506664 is 46660501.

It is a super-2 number, since 2×10506664² = 220779976817792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20637 + ... + 21139.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 2^10506664 is an apocalyptic number.

10506664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10506664 is an abundant number, since it is smaller than the sum of its proper divisors (12112856).

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

10506664 is a wasteful number, since it uses less digits than its factorization.

10506664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 10506664 is about 3241.3984636265. The cubic root of 10506664 is about 219.0222727776.

The spelling of 10506664 in words is "ten million, five hundred six thousand, six hundred sixty-four".