901289536 has 168 divisors, whose sum is σ = 2194169856. Its totient is φ = 365783040.

The previous prime is 901289513. The next prime is 901289551. The reversal of 901289536 is 635982109.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 901289492 and 901289501.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7096705 + ... + 7096831.

Almost surely, 2^901289536 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 901289536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097084928).

901289536 is an abundant number, since it is smaller than the sum of its proper divisors (1292880320).

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

901289536 is a wasteful number, since it uses less digits than its factorization.

901289536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 901289536 is about 30021.4845735517. The cubic root of 901289536 is about 965.9502879970.

The spelling of 901289536 in words is "nine hundred one million, two hundred eighty-nine thousand, five hundred thirty-six".