901200 has 60 divisors (see below), whose sum is σ = 2890688. Its totient is φ = 240000.

The previous prime is 901193. The next prime is 901207. The reversal of 901200 is 2109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (901193) and next prime (901207).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×901200² = 1624322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901207) by changing a digit.

901200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825 + ... + 1575.

2⁹⁰¹²⁰⁰ 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 901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445344).

901200 is an abundant number, since it is smaller than the sum of its proper divisors (1989488).

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

901200 is a wasteful number, since it uses less digits than its factorization.

901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 901200 is about 949.3155429045. The cubic root of 901200 is about 96.5918300426.

Adding to 901200 its reverse (2109), we get a palindrome (903309).

The spelling of 901200 in words is "nine hundred one thousand, two hundred".