961982464 has 104 divisors (see below), whose sum is σ = 2075927040. Its totient is φ = 444284928.

The previous prime is 961982453. The next prime is 961982471. The reversal of 961982464 is 464289169.

It is a super-2 number, since 2×961982464² = 1850820522087022592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3657597 + ... + 3657859.

Almost surely, 2^961982464 is an apocalyptic number.

961982464 is a gapful number since it is divisible by the number (94) 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 961982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037963520).

961982464 is an abundant number, since it is smaller than the sum of its proper divisors (1113944576).

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

961982464 is a wasteful number, since it uses less digits than its factorization.

961982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 331 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 961982464 is about 31015.8421455875. The cubic root of 961982464 is about 987.1634151513.

The spelling of 961982464 in words is "nine hundred sixty-one million, nine hundred eighty-two thousand, four hundred sixty-four".