1006140 has 48 divisors (see below), whose sum is σ = 2892960. Its totient is φ = 261120.

The previous prime is 1006133. The next prime is 1006147. The reversal of 1006140 is 416001.

Added to its reverse (416001) it gives a triangular number (1422141 = T₁₆₈₆).

It is an interprime number because it is at equal distance from previous prime (1006133) and next prime (1006147).

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 (1006147) 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, 2256 + ... + 2664.

It is an arithmetic number, because the mean of its divisors is an integer number (60270).

2^1006140 is an apocalyptic number.

1006140 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 1006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446480).

1006140 is an abundant number, since it is smaller than the sum of its proper divisors (1886820).

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

1006140 is a wasteful number, since it uses less digits than its factorization.

1006140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1006140 is about 1003.0653019619. The cubic root of 1006140 is about 100.2042492053.

1006140 divided by its sum of digits (12) gives a triangular number (83845 = T₄₀₉).

Adding to 1006140 its reverse (416001), we get a triangular number (1422141 = T₁₆₈₆).

It can be divided in two parts, 10061 and 40, that added together give a palindrome (10101).

The spelling of 1006140 in words is "one million, six thousand, one hundred forty".