991704384 has 504 divisors, whose sum is σ = 3541434624. Its totient is φ = 273715200.

The previous prime is 991704383. The next prime is 991704407. The reversal of 991704384 is 483407199.

991704384 = 100³ + 101³ + ... + 252³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991704383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31990449 + ... + 31990479.

It is an arithmetic number, because the mean of its divisors is an integer number (7026656).

Almost surely, 2^991704384 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 991704384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770717312).

991704384 is an abundant number, since it is smaller than the sum of its proper divisors (2549730240).

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

991704384 is a wasteful number, since it uses less digits than its factorization.

991704384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 991704384 is about 31491.3382376805. The cubic root of 991704384 is about 997.2271128705.

The spelling of 991704384 in words is "nine hundred ninety-one million, seven hundred four thousand, three hundred eighty-four".