840630960 has 400 divisors, whose sum is σ = 3334849056. Its totient is φ = 194420736.

The previous prime is 840630949. The next prime is 840630961. The reversal of 840630960 is 69036048.

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

It is not an unprimeable number, because it can be changed into a prime (840630961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431787 + ... + 1432373.

Almost surely, 2^840630960 is an apocalyptic number.

840630960 is a gapful number since it is divisible by the number (80) 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 840630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667424528).

840630960 is an abundant number, since it is smaller than the sum of its proper divisors (2494218096).

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

840630960 is a wasteful number, since it uses less digits than its factorization.

840630960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 840630960 is about 28993.6365432141. The cubic root of 840630960 is about 943.7749810793.

The spelling of 840630960 in words is "eight hundred forty million, six hundred thirty thousand, nine hundred sixty".