1007681536 has 63 divisors (see below), whose sum is σ = 2082470943. Its totient is φ = 487587840.

The previous prime is 1007681533. The next prime is 1007681537. The reversal of 1007681536 is 6351867001.

The square root of 1007681536 is 31744.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007681495 and 1007681504.

It is not an unprimeable number, because it can be changed into a prime (1007681533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32505841 + ... + 32505871.

Almost surely, 2^1007681536 is an apocalyptic number.

1007681536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1007681536 is the 31744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007681536

1007681536 is an abundant number, since it is smaller than the sum of its proper divisors (1074789407).

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

1007681536 is an frugal number, since it uses more digits than its factorization.

1007681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 1007681536 is about 1002.5539836146.

The spelling of 1007681536 in words is "one billion, seven million, six hundred eighty-one thousand, five hundred thirty-six".