904027632 has 80 divisors (see below), whose sum is σ = 2483582112. Its totient is φ = 282378240.

The previous prime is 904027609. The next prime is 904027637. The reversal of 904027632 is 236720409.

It is a super-3 number, since 3×904027632³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 904027593 and 904027602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904027637) 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 15 ways as a sum of consecutive naturals, for example, 194358 + ... + 198954.

Almost surely, 2^904027632 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 904027632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241791056).

904027632 is an abundant number, since it is smaller than the sum of its proper divisors (1579554480).

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

904027632 is a wasteful number, since it uses less digits than its factorization.

904027632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 904027632 is about 30067.0522665592. The cubic root of 904027632 is about 966.9274770431.

The spelling of 904027632 in words is "nine hundred four million, twenty-seven thousand, six hundred thirty-two".