901989600 has 144 divisors (see below), whose sum is σ = 2950404912. Its totient is φ = 239349760.

The previous prime is 901989541. The next prime is 901989623. The reversal of 901989600 is 6989109.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558394 + ... + 560006.

It is an arithmetic number, because the mean of its divisors is an integer number (20488923).

Almost surely, 2^901989600 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 901989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475202456).

901989600 is an abundant number, since it is smaller than the sum of its proper divisors (2048415312).

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

901989600 is a wasteful number, since it uses less digits than its factorization.

901989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 901989600 is about 30033.1416938022. The cubic root of 901989600 is about 966.2003193826.

The spelling of 901989600 in words is "nine hundred one million, nine hundred eighty-nine thousand, six hundred".