964446336 has 192 divisors, whose sum is σ = 3193008000. Its totient is φ = 273715200.

The previous prime is 964446323. The next prime is 964446337. The reversal of 964446336 is 633644469.

964446336 is a `hidden beast` number, since 9 + 6 + 4 + 4 + 4 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 964446291 and 964446300.

It is not an unprimeable number, because it can be changed into a prime (964446337) 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, 1604436 + ... + 1605036.

It is an arithmetic number, because the mean of its divisors is an integer number (16630250).

Almost surely, 2^964446336 is an apocalyptic number.

964446336 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 964446336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596504000).

964446336 is an abundant number, since it is smaller than the sum of its proper divisors (2228561664).

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

964446336 is a wasteful number, since it uses less digits than its factorization.

964446336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 812 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 964446336 is about 31055.5363180223. The cubic root of 964446336 is about 988.0054854990.

The spelling of 964446336 in words is "nine hundred sixty-four million, four hundred forty-six thousand, three hundred thirty-six".