964909968 has 160 divisors (see below), whose sum is σ = 2831818752. Its totient is φ = 280473600.

The previous prime is 964909931. The next prime is 964909991. The reversal of 964909968 is 869909469.

It is a Cunningham number, because it is equal to 31063²-1.

It is a super-2 number, since 2×964909968² = 1862102492691522048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2733280 + ... + 2733632.

Almost surely, 2^964909968 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 964909968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415909376).

964909968 is an abundant number, since it is smaller than the sum of its proper divisors (1866908784).

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

964909968 is a wasteful number, since it uses less digits than its factorization.

964909968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

The square root of 964909968 is about 31062.9999839037. Note that the first 4 decimals coincide. The cubic root of 964909968 is about 988.1637792820.

The spelling of 964909968 in words is "nine hundred sixty-four million, nine hundred nine thousand, nine hundred sixty-eight".