1008040 has 64 divisors (see below), whose sum is σ = 2592000. Its totient is φ = 349440.

The previous prime is 1008037. The next prime is 1008041. The reversal of 1008040 is 408001.

1008040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1008040³ = 3072943333555392000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1008040.

It is not an unprimeable number, because it can be changed into a prime (1008041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12721 + ... + 12799.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2^1008040 is an apocalyptic number.

1008040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1008040 is the 580-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000).

1008040 is an abundant number, since it is smaller than the sum of its proper divisors (1583960).

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

1008040 is a wasteful number, since it uses less digits than its factorization.

1008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1008040 is about 1004.0119521201. The cubic root of 1008040 is about 100.2672849510.

The spelling of 1008040 in words is "one million, eight thousand, forty".