964099760 has 80 divisors (see below), whose sum is σ = 2423282400. Its totient is φ = 354600960.

The previous prime is 964099739. The next prime is 964099823. The reversal of 964099760 is 67990469.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 964099699 and 964099708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290591 + ... + 293889.

It is an arithmetic number, because the mean of its divisors is an integer number (30291030).

Almost surely, 2^964099760 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 964099760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211641200).

964099760 is an abundant number, since it is smaller than the sum of its proper divisors (1459182640).

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

964099760 is a wasteful number, since it uses less digits than its factorization.

964099760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 50.

The square root of 964099760 is about 31049.9558775854. The cubic root of 964099760 is about 987.8871239753.

The spelling of 964099760 in words is "nine hundred sixty-four million, ninety-nine thousand, seven hundred sixty".