1007040 has 56 divisors (see below), whose sum is σ = 3200400. Its totient is φ = 268288.

The previous prime is 1007023. The next prime is 1007047. The reversal of 1007040 is 407001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (57150).

2^1007040 is an apocalyptic number.

1007040 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 1007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600200).

1007040 is an abundant number, since it is smaller than the sum of its proper divisors (2193360).

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

1007040 is a wasteful number, since it uses less digits than its factorization.

1007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1007040 is about 1003.5138265116. The cubic root of 1007040 is about 100.2341181260.

It can be divided in two parts, 100 and 7040, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 1007040 in words is "one million, seven thousand, forty".