10606772 has 48 divisors (see below), whose sum is σ = 21676032. Its totient is φ = 4493280.

The previous prime is 10606723. The next prime is 10606787. The reversal of 10606772 is 27760601.

It is a super-2 number, since 2×10606772² = 225007224519968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 47453 + ... + 47675.

It is an arithmetic number, because the mean of its divisors is an integer number (451584).

Almost surely, 2^10606772 is an apocalyptic number.

It is an amenable number.

10606772 is an abundant number, since it is smaller than the sum of its proper divisors (11069260).

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

10606772 is a wasteful number, since it uses less digits than its factorization.

10606772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 10606772 is about 3256.8039547999. The cubic root of 10606772 is about 219.7156933540.

The spelling of 10606772 in words is "ten million, six hundred six thousand, seven hundred seventy-two".