965674248 has 256 divisors, whose sum is σ = 3204403200. Its totient is φ = 235146240.

The previous prime is 965674201. The next prime is 965674249. The reversal of 965674248 is 842476569.

Its product of digits (2903040) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 965674248.

It is not an unprimeable number, because it can be changed into a prime (965674249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1982661 + ... + 1983147.

It is an arithmetic number, because the mean of its divisors is an integer number (12517200).

Almost surely, 2^965674248 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 965674248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602201600).

965674248 is an abundant number, since it is smaller than the sum of its proper divisors (2238728952).

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

965674248 is a wasteful number, since it uses less digits than its factorization.

965674248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 965674248 is about 31075.2996445730. The cubic root of 965674248 is about 988.4246100073.

The spelling of 965674248 in words is "nine hundred sixty-five million, six hundred seventy-four thousand, two hundred forty-eight".