1005040 has 40 divisors (see below), whose sum is σ = 2477520. Its totient is φ = 377856.

The previous prime is 1005029. The next prime is 1005041. The reversal of 1005040 is 405001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991 + ... + 1729.

It is an arithmetic number, because the mean of its divisors is an integer number (61938).

2^1005040 is an apocalyptic number.

1005040 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 1005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238760).

1005040 is an abundant number, since it is smaller than the sum of its proper divisors (1472480).

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

1005040 is a wasteful number, since it uses less digits than its factorization.

1005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1005040 is about 1002.5168327764. The cubic root of 1005040 is about 100.1677185476.

The spelling of 1005040 in words is "one million, five thousand, forty".