1006587648 has 216 divisors, whose sum is σ = 3285574656. Its totient is φ = 304819200.

The previous prime is 1006587623. The next prime is 1006587667. The reversal of 1006587648 is 8467856001.

It is a happy number.

1006587648 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 587 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683553 + ... + 685023.

Almost surely, 2^1006587648 is an apocalyptic number.

1006587648 is a gapful number since it is divisible by the number (18) 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 1006587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642787328).

1006587648 is an abundant number, since it is smaller than the sum of its proper divisors (2278987008).

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

1006587648 is an equidigital number, since it uses as much as digits as its factorization.

1006587648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1006587648 is about 31726.7654827907. The cubic root of 1006587648 is about 1002.1910783361.

The spelling of 1006587648 in words is "one billion, six million, five hundred eighty-seven thousand, six hundred forty-eight".