1006412176 has 135 divisors (see below), whose sum is σ = 2517672843. Its totient is φ = 388301760.

The previous prime is 1006412171. The next prime is 1006412207. The reversal of 1006412176 is 6712146001.

The square root of 1006412176 is 31724.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1006412171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9770941 + ... + 9771043.

Almost surely, 2^1006412176 is an apocalyptic number.

1006412176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1006412176 is the 31724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006412176

1006412176 is an abundant number, since it is smaller than the sum of its proper divisors (1511260667).

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

1006412176 is a wasteful number, since it uses less digits than its factorization.

1006412176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 1006412176 is about 1002.1328397605.

Adding to 1006412176 its reverse (6712146001), we get a palindrome (7718558177).

The spelling of 1006412176 in words is "one billion, six million, four hundred twelve thousand, one hundred seventy-six".