1006997544 has 192 divisors, whose sum is σ = 3202467840. Its totient is φ = 279941760.

The previous prime is 1006997503. The next prime is 1006997561. The reversal of 1006997544 is 4457996001.

1006997544 is a `hidden beast` number, since 10 + 0 + 6 + 9 + 97 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1006997544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3828757 + ... + 3829019.

It is an arithmetic number, because the mean of its divisors is an integer number (16679520).

Almost surely, 2^1006997544 is an apocalyptic number.

1006997544 is a gapful number since it is divisible by the number (14) 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 1006997544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601233920).

1006997544 is an abundant number, since it is smaller than the sum of its proper divisors (2195470296).

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

1006997544 is a wasteful number, since it uses less digits than its factorization.

1006997544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1006997544 is about 31733.2246076569. The cubic root of 1006997544 is about 1002.3270950944.

The spelling of 1006997544 in words is "one billion, six million, nine hundred ninety-seven thousand, five hundred forty-four".