10646964 has 60 divisors (see below), whose sum is σ = 29485764. Its totient is φ = 3338496.

The previous prime is 10646959. The next prime is 10646969. The reversal of 10646964 is 46964601.

10646964 is a `hidden beast` number, since 1 + 0 + 646 + 9 + 6 + 4 = 666.

10646964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10646959) and next prime (10646969).

It can be written as a sum of positive squares in 2 ways, for example, as 7784100 + 2862864 = 2790^2 + 1692^2 .

It is a super-2 number, since 2×10646964² = 226715684834592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10646969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4542 + ... + 6474.

Almost surely, 2^10646964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10646964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742882).

10646964 is an abundant number, since it is smaller than the sum of its proper divisors (18838800).

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

10646964 is a wasteful number, since it uses less digits than its factorization.

10646964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 10646964 is about 3262.9685870385. The cubic root of 10646964 is about 219.9928647824.

The spelling of 10646964 in words is "ten million, six hundred forty-six thousand, nine hundred sixty-four".