1587680352 has 84 divisors (see below), whose sum is σ = 4686543540. Its totient is φ = 529219008.

The previous prime is 1587680333. The next prime is 1587680359. The reversal of 1587680352 is 2530867851.

1587680352 is a `hidden beast` number, since 1 + 587 + 68 + 0 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1587680298 and 1587680307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587680359) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10702 + ... + 57357.

It is an arithmetic number, because the mean of its divisors is an integer number (55792185).

Almost surely, 2^1587680352 is an apocalyptic number.

1587680352 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 1587680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343271770).

1587680352 is an abundant number, since it is smaller than the sum of its proper divisors (3098863188).

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

1587680352 is an frugal number, since it uses more digits than its factorization.

1587680352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68087 (or 68064 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1587680352 is about 39845.7068201833. The cubic root of 1587680352 is about 1166.5974517124.

The spelling of 1587680352 in words is "one billion, five hundred eighty-seven million, six hundred eighty thousand, three hundred fifty-two".