960938640 has 140 divisors (see below), whose sum is σ = 3349944444. Its totient is φ = 256234752.

The previous prime is 960938633. The next prime is 960938647. The reversal of 960938640 is 46839069.

960938640 is a `hidden beast` number, since 9 + 609 + 38 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (960938633) and next prime (960938647).

It can be written as a sum of positive squares in 2 ways, for example, as 333135504 + 627803136 = 18252^2 + 25056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960938647) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 50082 + ... + 66558.

Almost surely, 2^960938640 is an apocalyptic number.

960938640 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 960938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674972222).

960938640 is an abundant number, since it is smaller than the sum of its proper divisors (2389005804).

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

960938640 is a wasteful number, since it uses less digits than its factorization.

960938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16508 (or 16487 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 960938640 is about 30999.0103067824. The cubic root of 960938640 is about 986.8062368504.

The spelling of 960938640 in words is "nine hundred sixty million, nine hundred thirty-eight thousand, six hundred forty".