1007986872 has 64 divisors (see below), whose sum is σ = 2612656800. Its totient is φ = 323688960.

The previous prime is 1007986867. The next prime is 1007986873. The reversal of 1007986872 is 2786897001.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007986873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375198 + ... + 377874.

Almost surely, 2^1007986872 is an apocalyptic number.

1007986872 is a gapful number since it is divisible by the number (12) 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 1007986872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306328400).

1007986872 is an abundant number, since it is smaller than the sum of its proper divisors (1604669928).

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

1007986872 is a wasteful number, since it uses less digits than its factorization.

1007986872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 1007986872 is about 31748.8089855352. The cubic root of 1007986872 is about 1002.6552341582.

The spelling of 1007986872 in words is "one billion, seven million, nine hundred eighty-six thousand, eight hundred seventy-two".