10606640 has 80 divisors (see below), whose sum is σ = 28524960. Its totient is φ = 3624960.

The previous prime is 10606639. The next prime is 10606709. The reversal of 10606640 is 4660601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10606640² = 225001624179200, which contains 22 as substring.

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, 14606 + ... + 15314.

It is an arithmetic number, because the mean of its divisors is an integer number (356562).

Almost surely, 2^10606640 is an apocalyptic number.

10606640 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 10606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262480).

10606640 is an abundant number, since it is smaller than the sum of its proper divisors (17918320).

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

10606640 is a wasteful number, since it uses less digits than its factorization.

10606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

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

The square root of 10606640 is about 3256.7836894703. The cubic root of 10606640 is about 219.7147819051.

The spelling of 10606640 in words is "ten million, six hundred six thousand, six hundred forty".