1006451136 has 112 divisors (see below), whose sum is σ = 3132917280. Its totient is φ = 315740160.

The previous prime is 1006451129. The next prime is 1006451137. The reversal of 1006451136 is 6311546001.

1006451136 is a `hidden beast` number, since 1 + 0 + 0 + 645 + 1 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006451137) 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, 12246 + ... + 46506.

Almost surely, 2^1006451136 is an apocalyptic number.

1006451136 is a gapful number since it is divisible by the number (16) 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 1006451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566458640).

1006451136 is an abundant number, since it is smaller than the sum of its proper divisors (2126466144).

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

1006451136 is a wasteful number, since it uses less digits than its factorization.

1006451136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34299 (or 34283 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1006451136 is about 31724.6140402054. The cubic root of 1006451136 is about 1002.1457710400.

Adding to 1006451136 its reverse (6311546001), we get a palindrome (7317997137).

The spelling of 1006451136 in words is "one billion, six million, four hundred fifty-one thousand, one hundred thirty-six".