1006604640 has 288 divisors, whose sum is σ = 3566384640. Its totient is φ = 258388992.

The previous prime is 1006604639. The next prime is 1006604657. The reversal of 1006604640 is 464066001.

1006604640 is a `hidden beast` number, since 10 + 0 + 6 + 6 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 7241691 + ... + 7241829.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^1006604640 is an apocalyptic number.

1006604640 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 1006604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

1006604640 is an abundant number, since it is smaller than the sum of its proper divisors (2559780000).

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

1006604640 is a wasteful number, since it uses less digits than its factorization.

1006604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1006604640 is about 31727.0332681768. The cubic root of 1006604640 is about 1002.1967175651.

The spelling of 1006604640 in words is "one billion, six million, six hundred four thousand, six hundred forty".