1587142880 has 96 divisors (see below), whose sum is σ = 3805885440. Its totient is φ = 625420800.

The previous prime is 1587142873. The next prime is 1587142897. The reversal of 1587142880 is 882417851.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4324457 + ... + 4324823.

It is an arithmetic number, because the mean of its divisors is an integer number (39644640).

Almost surely, 2^1587142880 is an apocalyptic number.

1587142880 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 1587142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902942720).

1587142880 is an abundant number, since it is smaller than the sum of its proper divisors (2218742560).

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

1587142880 is a wasteful number, since it uses less digits than its factorization.

1587142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 44.

The square root of 1587142880 is about 39838.9618338631. The cubic root of 1587142880 is about 1166.4657954396.

The spelling of 1587142880 in words is "one billion, five hundred eighty-seven million, one hundred forty-two thousand, eight hundred eighty".