587748960 has 168 divisors, whose sum is σ = 2082296160. Its totient is φ = 156701952.

The previous prime is 587748949. The next prime is 587748971. The reversal of 587748960 is 69847785.

It is an interprime number because it is at equal distance from previous prime (587748949) and next prime (587748971).

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

It is a junction number, because it is equal to n+sod(n) for n = 587748897 and 587748906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 114121 + ... + 119159.

It is an arithmetic number, because the mean of its divisors is an integer number (12394620).

Almost surely, 2^587748960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 587748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041148080).

587748960 is an abundant number, since it is smaller than the sum of its proper divisors (1494547200).

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

587748960 is an equidigital number, since it uses as much as digits as its factorization.

587748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 587748960 is about 24243.5343957930. The cubic root of 587748960 is about 837.6526300868.

The spelling of 587748960 in words is "five hundred eighty-seven million, seven hundred forty-eight thousand, nine hundred sixty".