964802748 has 288 divisors, whose sum is σ = 3033408000. Its totient is φ = 237758976.

The previous prime is 964802743. The next prime is 964802777. The reversal of 964802748 is 847208469.

964802748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 964802697 and 964802706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964802743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13216440 + ... + 13216512.

Almost surely, 2^964802748 is an apocalyptic number.

964802748 is a gapful number since it is divisible by the number (98) 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 964802748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516704000).

964802748 is an abundant number, since it is smaller than the sum of its proper divisors (2068605252).

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

964802748 is a wasteful number, since it uses less digits than its factorization.

964802748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 964802748 is about 31061.2740884852. The cubic root of 964802748 is about 988.1271766114.

The spelling of 964802748 in words is "nine hundred sixty-four million, eight hundred two thousand, seven hundred forty-eight".