901087008 has 192 divisors, whose sum is σ = 2659184640. Its totient is φ = 265807872.

The previous prime is 901087007. The next prime is 901087021. The reversal of 901087008 is 800780109.

It is a self number, because there is not a number n which added to its sum of digits gives 901087008.

It is not an unprimeable number, because it can be changed into a prime (901087007) by changing a digit.

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, 1971516 + ... + 1971972.

It is an arithmetic number, because the mean of its divisors is an integer number (13849920).

Almost surely, 2^901087008 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 901087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329592320).

901087008 is an abundant number, since it is smaller than the sum of its proper divisors (1758097632).

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

901087008 is a wasteful number, since it uses less digits than its factorization.

901087008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 901087008 is about 30018.1113329936. Note that the first 3 decimals coincide. The cubic root of 901087008 is about 965.8779299561.

The spelling of 901087008 in words is "nine hundred one million, eighty-seven thousand, eight".