1006736640 has 576 divisors, whose sum is σ = 4109715456. Its totient is φ = 204374016.

The previous prime is 1006736629. The next prime is 1006736659. The reversal of 1006736640 is 466376001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15025887 + ... + 15025953.

Almost surely, 2^1006736640 is an apocalyptic number.

1006736640 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 1006736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054857728).

1006736640 is an abundant number, since it is smaller than the sum of its proper divisors (3102978816).

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

1006736640 is a wasteful number, since it uses less digits than its factorization.

1006736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1006736640 is about 31729.1134449105. The cubic root of 1006736640 is about 1002.2405229744.

The spelling of 1006736640 in words is "one billion, six million, seven hundred thirty-six thousand, six hundred forty".