10971664 has 80 divisors (see below), whose sum is σ = 25980480. Its totient is φ = 4423680.

The previous prime is 10971659. The next prime is 10971679. The reversal of 10971664 is 46617901.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 56752 + ... + 56944.

It is an arithmetic number, because the mean of its divisors is an integer number (324756).

Almost surely, 2^10971664 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 10971664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990240).

10971664 is an abundant number, since it is smaller than the sum of its proper divisors (15008816).

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

10971664 is a wasteful number, since it uses less digits than its factorization.

10971664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 10971664 is about 3312.3502230290. The cubic root of 10971664 is about 222.2068790888.

The spelling of 10971664 in words is "ten million, nine hundred seventy-one thousand, six hundred sixty-four".