1008644 has 48 divisors (see below), whose sum is σ = 2314368. Its totient is φ = 373248.

The previous prime is 1008617. The next prime is 1008659. The reversal of 1008644 is 4468001.

1008644 = T₈₄ + T₈₅ + ... + T₁₈₇.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6107 + ... + 6269.

It is an arithmetic number, because the mean of its divisors is an integer number (48216).

2^1008644 is an apocalyptic number.

1008644 is a gapful number since it is divisible by the number (14) 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 1008644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157184).

1008644 is an abundant number, since it is smaller than the sum of its proper divisors (1305724).

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

1008644 is a wasteful number, since it uses less digits than its factorization.

1008644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1008644 is about 1004.3127003080. The cubic root of 1008644 is about 100.2873070892.

The spelling of 1008644 in words is "one million, eight thousand, six hundred forty-four".