921959040 has 256 divisors, whose sum is σ = 3133440000. Its totient is φ = 229920768.

The previous prime is 921959023. The next prime is 921959111. The reversal of 921959040 is 40959129.

It is a self number, because there is not a number n which added to its sum of digits gives 921959040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4632861 + ... + 4633059.

It is an arithmetic number, because the mean of its divisors is an integer number (12240000).

Almost surely, 2^921959040 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 921959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566720000).

921959040 is an abundant number, since it is smaller than the sum of its proper divisors (2211480960).

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

921959040 is a wasteful number, since it uses less digits than its factorization.

921959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 921959040 is about 30363.7784210068. The cubic root of 921959040 is about 973.2786775256.

The spelling of 921959040 in words is "nine hundred twenty-one million, nine hundred fifty-nine thousand, forty".