6087985920 has 648 divisors, whose sum is σ = 23452128336. Its totient is φ = 1510907904.

The previous prime is 6087985913. The next prime is 6087985961. The reversal of 6087985920 is 295897806.

It is a happy number.

6087985920 is a `hidden beast` number, since 608 + 7 + 9 + 8 + 5 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164540142 + ... + 164540178.

Almost surely, 2^6087985920 is an apocalyptic number.

6087985920 is a gapful number since it is divisible by the number (60) 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 6087985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726064168).

6087985920 is an abundant number, since it is smaller than the sum of its proper divisors (17364142416).

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

6087985920 is an equidigital number, since it uses as much as digits as its factorization.

6087985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 6087985920 is about 78025.5465857177. The cubic root of 6087985920 is about 1825.9598048821.

The spelling of 6087985920 in words is "six billion, eighty-seven million, nine hundred eighty-five thousand, nine hundred twenty".