1039987872 has 288 divisors, whose sum is σ = 3849431040. Its totient is φ = 258255360.

The previous prime is 1039987799. The next prime is 1039987877. The reversal of 1039987872 is 2787899301.

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

It is not an unprimeable number, because it can be changed into a prime (1039987877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509029 + ... + 511067.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 2^1039987872 is an apocalyptic number.

1039987872 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 1039987872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924715520).

1039987872 is an abundant number, since it is smaller than the sum of its proper divisors (2809443168).

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

1039987872 is a wasteful number, since it uses less digits than its factorization.

1039987872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 1039987872 is about 32248.8429559884. The cubic root of 1039987872 is about 1013.1554654724.

The spelling of 1039987872 in words is "one billion, thirty-nine million, nine hundred eighty-seven thousand, eight hundred seventy-two".