964077824 has 36 divisors (see below), whose sum is σ = 1931107836. Its totient is φ = 480356352.

The previous prime is 964077799. The next prime is 964077833. The reversal of 964077824 is 428770469.

It can be written as a sum of positive squares in 2 ways, for example, as 616628224 + 347449600 = 24832^2 + 18640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68582 + ... + 81434.

Almost surely, 2^964077824 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 964077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965553918).

964077824 is an abundant number, since it is smaller than the sum of its proper divisors (967030012).

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

964077824 is a wasteful number, since it uses less digits than its factorization.

964077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13162 (or 13148 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 964077824 is about 31049.6026383592. The cubic root of 964077824 is about 987.8796315085.

The spelling of 964077824 in words is "nine hundred sixty-four million, seventy-seven thousand, eight hundred twenty-four".