1587725760 has 168 divisors, whose sum is σ = 5211915408. Its totient is φ = 409497600.

The previous prime is 1587725723. The next prime is 1587725773. The reversal of 1587725760 is 675277851.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921700 + ... + 923420.

It is an arithmetic number, because the mean of its divisors is an integer number (31023306).

Almost surely, 2^1587725760 is an apocalyptic number.

1587725760 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 1587725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605957704).

1587725760 is an abundant number, since it is smaller than the sum of its proper divisors (3624189648).

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

1587725760 is a wasteful number, since it uses less digits than its factorization.

1587725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The square root of 1587725760 is about 39846.2766140075. The cubic root of 1587725760 is about 1166.6085732524.

The spelling of 1587725760 in words is "one billion, five hundred eighty-seven million, seven hundred twenty-five thousand, seven hundred sixty".