587140920 has 256 divisors, whose sum is σ = 2052864000. Its totient is φ = 149119488.

The previous prime is 587140909. The next prime is 587140927. The reversal of 587140920 is 29041785.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (587140927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2182546 + ... + 2182814.

It is an arithmetic number, because the mean of its divisors is an integer number (8019000).

Almost surely, 2^587140920 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 587140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026432000).

587140920 is an abundant number, since it is smaller than the sum of its proper divisors (1465723080).

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

587140920 is a wasteful number, since it uses less digits than its factorization.

587140920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 587140920 is about 24230.9909000850. The cubic root of 587140920 is about 837.3636733623.

The spelling of 587140920 in words is "five hundred eighty-seven million, one hundred forty thousand, nine hundred twenty".