1587638880 has 120 divisors (see below), whose sum is σ = 5603087952. Its totient is φ = 423366912.

The previous prime is 1587638869. The next prime is 1587638893. The reversal of 1587638880 is 888367851.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48292 + ... + 74211.

Almost surely, 2^1587638880 is an apocalyptic number.

1587638880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1587638880 is an abundant number, since it is smaller than the sum of its proper divisors (4015449072).

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

1587638880 is a wasteful number, since it uses less digits than its factorization.

1587638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122530 (or 122513 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 1587638880 is about 39845.1864094021. The cubic root of 1587638880 is about 1166.5872940105.

It can be divided in two parts, 15876 and 38880, that added together give a square (54756 = 234²).

The spelling of 1587638880 in words is "one billion, five hundred eighty-seven million, six hundred thirty-eight thousand, eight hundred eighty".