900032 has 56 divisors (see below), whose sum is σ = 2133600. Its totient is φ = 376320.

The previous prime is 900019. The next prime is 900037. The reversal of 900032 is 230009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900037) 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 7 ways as a sum of consecutive naturals, for example, 21932 + ... + 21972.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

2⁹⁰⁰⁰³² 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 900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066800).

900032 is an abundant number, since it is smaller than the sum of its proper divisors (1233568).

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

900032 is an equidigital number, since it uses as much as digits as its factorization.

900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 900032 is about 948.7001633815. The cubic root of 900032 is about 96.5500827307.

The spelling of 900032 in words is "nine hundred thousand, thirty-two".