964611648 has 504 divisors, whose sum is σ = 3794394240. Its totient is φ = 230307840.

The previous prime is 964611643. The next prime is 964611649. The reversal of 964611648 is 846116469.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (964611643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035913 + ... + 4036151.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^964611648 is an apocalyptic number.

964611648 is a gapful number since it is divisible by the number (98) 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 964611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897197120).

964611648 is an abundant number, since it is smaller than the sum of its proper divisors (2829782592).

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

964611648 is a wasteful number, since it uses less digits than its factorization.

964611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 964611648 is about 31058.1977584019. The cubic root of 964611648 is about 988.0619323348.

The spelling of 964611648 in words is "nine hundred sixty-four million, six hundred eleven thousand, six hundred forty-eight".