967040640 has 256 divisors, whose sum is σ = 3454617600. Its totient is φ = 255651840.

The previous prime is 967040639. The next prime is 967040671. The reversal of 967040640 is 46040769.

967040640 is a `hidden beast` number, since 9 + 6 + 7 + 0 + 4 + 0 + 640 = 666.

967040640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 967040595 and 967040604.

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, 3300334 + ... + 3300626.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2^967040640 is an apocalyptic number.

967040640 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 967040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

967040640 is an abundant number, since it is smaller than the sum of its proper divisors (2487576960).

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

967040640 is a wasteful number, since it uses less digits than its factorization.

967040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 967040640 is about 31097.2770512146. The cubic root of 967040640 is about 988.8905845941.

The spelling of 967040640 in words is "nine hundred sixty-seven million, forty thousand, six hundred forty".