965077240 has 64 divisors (see below), whose sum is σ = 2281167360. Its totient is φ = 366748800.

The previous prime is 965077207. The next prime is 965077249. The reversal of 965077240 is 42770569.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 965077193 and 965077202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965077249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135447 + ... + 142393.

It is an arithmetic number, because the mean of its divisors is an integer number (35643240).

Almost surely, 2^965077240 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 965077240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140583680).

965077240 is an abundant number, since it is smaller than the sum of its proper divisors (1316090120).

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

965077240 is a wasteful number, since it uses less digits than its factorization.

965077240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7132 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 965077240 is about 31065.6923309300. The cubic root of 965077240 is about 988.2208770378.

965077240 divided by its sum of digits (40) gives a triangular number (24126931 = T₆₉₄₆).

The spelling of 965077240 in words is "nine hundred sixty-five million, seventy-seven thousand, two hundred forty".