905968998 has 96 divisors (see below), whose sum is σ = 2296719360. Its totient is φ = 255041280.

The previous prime is 905968979. The next prime is 905969023. The reversal of 905968998 is 899869509.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264211 + ... + 267617.

It is an arithmetic number, because the mean of its divisors is an integer number (23924160).

Almost surely, 2^905968998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905968998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148359680).

905968998 is an abundant number, since it is smaller than the sum of its proper divisors (1390750362).

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

905968998 is a wasteful number, since it uses less digits than its factorization.

905968998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The square root of 905968998 is about 30099.3188959485. The cubic root of 905968998 is about 967.6191292125.

The spelling of 905968998 in words is "nine hundred five million, nine hundred sixty-eight thousand, nine hundred ninety-eight".