965904240 has 320 divisors, whose sum is σ = 3609768960. Its totient is φ = 209018880.

The previous prime is 965904229. The next prime is 965904307. The reversal of 965904240 is 42409569.

It is a Cunningham number, because it is equal to 31079²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2548371 + ... + 2548749.

It is an arithmetic number, because the mean of its divisors is an integer number (11280528).

Almost surely, 2^965904240 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 965904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804884480).

965904240 is an abundant number, since it is smaller than the sum of its proper divisors (2643864720).

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

965904240 is a wasteful number, since it uses less digits than its factorization.

965904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 965904240 is about 31078.9999839120. Note that the first 4 decimals coincide. The cubic root of 965904240 is about 988.5030739090.

The spelling of 965904240 in words is "nine hundred sixty-five million, nine hundred four thousand, two hundred forty".