1587636480 has 144 divisors (see below), whose sum is σ = 5234471424. Its totient is φ = 409681920.

The previous prime is 1587636469. The next prime is 1587636493. The reversal of 1587636480 is 846367851.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 112372 + ... + 125708.

It is an arithmetic number, because the mean of its divisors is an integer number (36350496).

Almost surely, 2^1587636480 is an apocalyptic number.

1587636480 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 1587636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617235712).

1587636480 is an abundant number, since it is smaller than the sum of its proper divisors (3646834944).

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

1587636480 is a wasteful number, since it uses less digits than its factorization.

1587636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13378 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 1587636480 is about 39845.1562928294. The cubic root of 1587636480 is about 1166.5867061752.

The spelling of 1587636480 in words is "one billion, five hundred eighty-seven million, six hundred thirty-six thousand, four hundred eighty".