901600 has 108 divisors (see below), whose sum is σ = 2671704. Its totient is φ = 295680.

The previous prime is 901591. The next prime is 901613. The reversal of 901600 is 6109.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

901600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39189 + ... + 39211.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2⁹⁰¹⁶⁰⁰ 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 901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335852).

901600 is an abundant number, since it is smaller than the sum of its proper divisors (1770104).

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

901600 is a wasteful number, since it uses less digits than its factorization.

901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 901600 is about 949.5261976375. The cubic root of 901600 is about 96.6061187751.

Adding to 901600 its reverse (6109), we get a palindrome (907709).

The spelling of 901600 in words is "nine hundred one thousand, six hundred".