965072640 has 432 divisors, whose sum is σ = 3758082048. Its totient is φ = 210051072.

The previous prime is 965072621. The next prime is 965072651. The reversal of 965072640 is 46270569.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4327569 + ... + 4327791.

It is an arithmetic number, because the mean of its divisors is an integer number (8699264).

Almost surely, 2^965072640 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 965072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879041024).

965072640 is an abundant number, since it is smaller than the sum of its proper divisors (2793009408).

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

965072640 is a wasteful number, since it uses less digits than its factorization.

965072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 965072640 is about 31065.6182941850. The cubic root of 965072640 is about 988.2193069309.

The spelling of 965072640 in words is "nine hundred sixty-five million, seventy-two thousand, six hundred forty".