10961664 has 72 divisors (see below), whose sum is σ = 33358080. Its totient is φ = 3130368.

The previous prime is 10961663. The next prime is 10961677. The reversal of 10961664 is 46616901.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10961663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4357 + ... + 6395.

Almost surely, 2^10961664 is an apocalyptic number.

10961664 is a gapful number since it is divisible by the number (14) 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 10961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679040).

10961664 is an abundant number, since it is smaller than the sum of its proper divisors (22396416).

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

10961664 is an equidigital number, since it uses as much as digits as its factorization.

10961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2051 counting only the distinct ones).

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

The square root of 10961664 is about 3310.8403767020. The cubic root of 10961664 is about 222.1393492463.

The spelling of 10961664 in words is "ten million, nine hundred sixty-one thousand, six hundred sixty-four".