965744640 has 384 divisors, whose sum is σ = 3931200000. Its totient is φ = 220299264.

The previous prime is 965744609. The next prime is 965744651. The reversal of 965744640 is 46447569.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1935111 + ... + 1935609.

It is an arithmetic number, because the mean of its divisors is an integer number (10237500).

Almost surely, 2^965744640 is an apocalyptic number.

965744640 is a gapful number since it is divisible by the number (90) 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 965744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600000).

965744640 is an abundant number, since it is smaller than the sum of its proper divisors (2965455360).

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

965744640 is a wasteful number, since it uses less digits than its factorization.

965744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 965744640 is about 31076.4322276544. The cubic root of 965744640 is about 988.4486262132.

The spelling of 965744640 in words is "nine hundred sixty-five million, seven hundred forty-four thousand, six hundred forty".