964160064 has 336 divisors, whose sum is σ = 3370478400. Its totient is φ = 269402112.

The previous prime is 964160063. The next prime is 964160143. The reversal of 964160064 is 460061469.

964160064 is a `hidden beast` number, since 9 + 6 + 41 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-4 number, since 4×964160064⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (964160063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4995552 + ... + 4995744.

Almost surely, 2^964160064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685239200).

964160064 is an abundant number, since it is smaller than the sum of its proper divisors (2406318336).

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

964160064 is a wasteful number, since it uses less digits than its factorization.

964160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 964160064 is about 31050.9269426856. The cubic root of 964160064 is about 987.9077208421.

It can be divided in two parts, 964 and 160064, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 964160064 in words is "nine hundred sixty-four million, one hundred sixty thousand, sixty-four".