1587904000 has 160 divisors (see below), whose sum is σ = 4058642016. Its totient is φ = 619315200.

The previous prime is 1587903997. The next prime is 1587904007. The reversal of 1587904000 is 4097851.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1587904000² = 5042878226432000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587904007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2751712 + ... + 2752288.

Almost surely, 2^1587904000 is an apocalyptic number.

1587904000 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 1587904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029321008).

1587904000 is an abundant number, since it is smaller than the sum of its proper divisors (2470738016).

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

1587904000 is an frugal number, since it uses more digits than its factorization.

1587904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 1587904000 is about 39848.5131466658. The cubic root of 1587904000 is about 1166.6522265786.

The spelling of 1587904000 in words is "one billion, five hundred eighty-seven million, nine hundred four thousand".