963344256 has 128 divisors (see below), whose sum is σ = 2934662400. Its totient is φ = 274280448.

The previous prime is 963344237. The next prime is 963344257. The reversal of 963344256 is 652443369.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×963344256³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963344257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190380 + ... + 1191188.

It is an arithmetic number, because the mean of its divisors is an integer number (22927050).

Almost surely, 2^963344256 is an apocalyptic number.

963344256 is a gapful number since it is divisible by the number (96) 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 963344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467331200).

963344256 is an abundant number, since it is smaller than the sum of its proper divisors (1971318144).

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

963344256 is a wasteful number, since it uses less digits than its factorization.

963344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1264 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 963344256 is about 31037.7875500172. The cubic root of 963344256 is about 987.6290083230.

The spelling of 963344256 in words is "nine hundred sixty-three million, three hundred forty-four thousand, two hundred fifty-six".