900827136 has 192 divisors, whose sum is σ = 2913019200. Its totient is φ = 272793600.

The previous prime is 900827119. The next prime is 900827159. The reversal of 900827136 is 631728009.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×900827136³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 900827136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607516 + ... + 608996.

It is an arithmetic number, because the mean of its divisors is an integer number (15171975).

Almost surely, 2^900827136 is an apocalyptic number.

900827136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456509600).

900827136 is an abundant number, since it is smaller than the sum of its proper divisors (2012192064).

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

900827136 is a wasteful number, since it uses less digits than its factorization.

900827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 900827136 is about 30013.7824340752. The cubic root of 900827136 is about 965.7850684970.

The spelling of 900827136 in words is "nine hundred million, eight hundred twenty-seven thousand, one hundred thirty-six".