1587909120 has 160 divisors (see below), whose sum is σ = 5801735808. Its totient is φ = 362938368.

The previous prime is 1587909101. The next prime is 1587909133. The reversal of 1587909120 is 219097851.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 38992 + ... + 68528.

Almost surely, 2^1587909120 is an apocalyptic number.

1587909120 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 1587909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900867904).

1587909120 is an abundant number, since it is smaller than the sum of its proper divisors (4213826688).

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

1587909120 is an equidigital number, since it uses as much as digits as its factorization.

1587909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29570 (or 29554 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 1587909120 is about 39848.5773899144. The cubic root of 1587909120 is about 1166.6534804859.

It can be divided in two parts, 158790 and 9120, that added together give a triangular number (167910 = T₅₇₉).

The spelling of 1587909120 in words is "one billion, five hundred eighty-seven million, nine hundred nine thousand, one hundred twenty".