1964167296 has 128 divisors (see below), whose sum is σ = 6421430400. Its totient is φ = 518012928.

The previous prime is 1964167277. The next prime is 1964167297. The reversal of 1964167296 is 6927614691.

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

It is not an unprimeable number, because it can be changed into a prime (1964167297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6840 + ... + 63048.

It is an arithmetic number, because the mean of its divisors is an integer number (50167425).

Almost surely, 2^1964167296 is an apocalyptic number.

1964167296 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 1964167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210715200).

1964167296 is an abundant number, since it is smaller than the sum of its proper divisors (4457263104).

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

1964167296 is a wasteful number, since it uses less digits than its factorization.

1964167296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56246 (or 56234 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 1964167296 is about 44318.9270628250. The cubic root of 1964167296 is about 1252.3512642853.

The spelling of 1964167296 in words is "one billion, nine hundred sixty-four million, one hundred sixty-seven thousand, two hundred ninety-six".