900335634 has 128 divisors (see below), whose sum is σ = 2159308800. Its totient is φ = 247302720.

The previous prime is 900335633. The next prime is 900335647. The reversal of 900335634 is 436533009.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 900335595 and 900335604.

It is not an unprimeable number, because it can be changed into a prime (900335633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3181257 + ... + 3181539.

It is an arithmetic number, because the mean of its divisors is an integer number (16869600).

Almost surely, 2^900335634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900335634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079654400).

900335634 is an abundant number, since it is smaller than the sum of its proper divisors (1258973166).

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

900335634 is a wasteful number, since it uses less digits than its factorization.

900335634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 900335634 is about 30005.5933785686. The cubic root of 900335634 is about 965.6093886019.

The spelling of 900335634 in words is "nine hundred million, three hundred thirty-five thousand, six hundred thirty-four".