1007983872 has 288 divisors, whose sum is σ = 3461391360. Its totient is φ = 283392000.

The previous prime is 1007983871. The next prime is 1007983961. The reversal of 1007983872 is 2783897001.

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

It is a super-2 number, since 2×1007983872² = 2032062972424224768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007983871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4015747 + ... + 4015997.

It is an arithmetic number, because the mean of its divisors is an integer number (12018720).

Almost surely, 2^1007983872 is an apocalyptic number.

1007983872 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 1007983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730695680).

1007983872 is an abundant number, since it is smaller than the sum of its proper divisors (2453407488).

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

1007983872 is an equidigital number, since it uses as much as digits as its factorization.

1007983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1007983872 is about 31748.7617396332. The cubic root of 1007983872 is about 1002.6542394466.

The spelling of 1007983872 in words is "one billion, seven million, nine hundred eighty-three thousand, eight hundred seventy-two".