10964016 has 120 divisors (see below), whose sum is σ = 35786400. Its totient is φ = 3068928.

The previous prime is 10964003. The next prime is 10964017. The reversal of 10964016 is 61046901.

10964016 is a `hidden beast` number, since 1 + 0 + 9 + 640 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (10964017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73510 + ... + 73658.

It is an arithmetic number, because the mean of its divisors is an integer number (298220).

Almost surely, 2^10964016 is an apocalyptic number.

10964016 is a gapful number since it is divisible by the number (16) 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 10964016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893200).

10964016 is an abundant number, since it is smaller than the sum of its proper divisors (24822384).

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

10964016 is a wasteful number, since it uses less digits than its factorization.

10964016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10964016 is about 3311.1955544788. The cubic root of 10964016 is about 222.1552359580.

The spelling of 10964016 in words is "ten million, nine hundred sixty-four thousand, sixteen".