1008900 has 108 divisors (see below), whose sum is σ = 3385200. Its totient is φ = 250560.

The previous prime is 1008871. The next prime is 1008901. The reversal of 1008900 is 98001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1008901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17071 + ... + 17129.

2^1008900 is an apocalyptic number.

1008900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692600).

1008900 is an abundant number, since it is smaller than the sum of its proper divisors (2376300).

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

1008900 is a wasteful number, since it uses less digits than its factorization.

1008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1008900 is about 1004.4401425670. The cubic root of 1008900 is about 100.2957908816.

The spelling of 1008900 in words is "one million, eight thousand, nine hundred".