10661964 has 48 divisors (see below), whose sum is σ = 26503680. Its totient is φ = 3326400.

The previous prime is 10661939. The next prime is 10661971. The reversal of 10661964 is 46916601.

It is a super-2 number, since 2×10661964² = 227354952674592, 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, 22797 + ... + 23259.

It is an arithmetic number, because the mean of its divisors is an integer number (552160).

Almost surely, 2^10661964 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 10661964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251840).

10661964 is an abundant number, since it is smaller than the sum of its proper divisors (15841716).

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

10661964 is a wasteful number, since it uses less digits than its factorization.

10661964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 10661964 is about 3265.2662984816. The cubic root of 10661964 is about 220.0961287894.

The spelling of 10661964 in words is "ten million, six hundred sixty-one thousand, nine hundred sixty-four".