1006342040 has 64 divisors (see below), whose sum is σ = 2475567360. Its totient is φ = 365134720.

The previous prime is 1006342039. The next prime is 1006342061. The reversal of 1006342040 is 402436001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 219047 + ... + 223593.

It is an arithmetic number, because the mean of its divisors is an integer number (38680740).

Almost surely, 2^1006342040 is an apocalyptic number.

1006342040 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 1006342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237783680).

1006342040 is an abundant number, since it is smaller than the sum of its proper divisors (1469225320).

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

1006342040 is a wasteful number, since it uses less digits than its factorization.

1006342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1006342040 is about 31722.8945715866. The cubic root of 1006342040 is about 1002.1095599608.

Adding to 1006342040 its reverse (402436001), we get a palindrome (1408778041).

The spelling of 1006342040 in words is "one billion, six million, three hundred forty-two thousand, forty".