1964232648 has 192 divisors, whose sum is σ = 6278238720. Its totient is φ = 543168000.

The previous prime is 1964232623. The next prime is 1964232671. The reversal of 1964232648 is 8462324691.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2392078 + ... + 2392898.

It is an arithmetic number, because the mean of its divisors is an integer number (32699160).

Almost surely, 2^1964232648 is an apocalyptic number.

1964232648 is a gapful number since it is divisible by the number (18) 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 1964232648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139119360).

1964232648 is an abundant number, since it is smaller than the sum of its proper divisors (4314006072).

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

1964232648 is a wasteful number, since it uses less digits than its factorization.

1964232648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1964232648 is about 44319.6643489095. The cubic root of 1964232648 is about 1252.3651535896.

The spelling of 1964232648 in words is "one billion, nine hundred sixty-four million, two hundred thirty-two thousand, six hundred forty-eight".