1587613664 has 192 divisors, whose sum is σ = 4073287680. Its totient is φ = 592220160.

The previous prime is 1587613661. The next prime is 1587613679. The reversal of 1587613664 is 4663167851.

It is a super-2 number, since 2×1587613664² = 5041034292239009792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587613661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3881492 + ... + 3881900.

It is an arithmetic number, because the mean of its divisors is an integer number (21215040).

Almost surely, 2^1587613664 is an apocalyptic number.

1587613664 is a gapful number since it is divisible by the number (14) 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 1587613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036643840).

1587613664 is an abundant number, since it is smaller than the sum of its proper divisors (2485674016).

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

1587613664 is a wasteful number, since it uses less digits than its factorization.

1587613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 1587613664 is about 39844.8699834747. The cubic root of 1587613664 is about 1166.5811177906.

The spelling of 1587613664 in words is "one billion, five hundred eighty-seven million, six hundred thirteen thousand, six hundred sixty-four".