959984640 has 264 divisors, whose sum is σ = 3379809888. Its totient is φ = 251904000.

The previous prime is 959984609. The next prime is 959984659. The reversal of 959984640 is 46489959.

959984640 is a `hidden beast` number, since 9 + 599 + 8 + 4 + 6 + 40 = 666.

959984640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3824515 + ... + 3824765.

Almost surely, 2^959984640 is an apocalyptic number.

959984640 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 959984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689904944).

959984640 is an abundant number, since it is smaller than the sum of its proper divisors (2419825248).

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

959984640 is a wasteful number, since it uses less digits than its factorization.

959984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 959984640 is about 30983.6188977337. The cubic root of 959984640 is about 986.4795684517.

The spelling of 959984640 in words is "nine hundred fifty-nine million, nine hundred eighty-four thousand, six hundred forty".