10964256 has 48 divisors (see below), whose sum is σ = 28986048. Its totient is φ = 3628800.

The previous prime is 10964251. The next prime is 10964263. The reversal of 10964256 is 65246901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10964251) 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, 17061 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (603876).

Almost surely, 2^10964256 is an apocalyptic number.

10964256 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 10964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493024).

10964256 is an abundant number, since it is smaller than the sum of its proper divisors (18021792).

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

10964256 is a wasteful number, since it uses less digits than its factorization.

10964256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 10964256 is about 3311.2317949669. The cubic root of 10964256 is about 222.1568569232.

The spelling of 10964256 in words is "ten million, nine hundred sixty-four thousand, two hundred fifty-six".