587879040 has 512 divisors, whose sum is σ = 2368880640. Its totient is φ = 120913920.

The previous prime is 587879003. The next prime is 587879041. The reversal of 587879040 is 40978785.

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

It is not an unprimeable number, because it can be changed into a prime (587879041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7082839 + ... + 7082921.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^587879040 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 587879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184440320).

587879040 is an abundant number, since it is smaller than the sum of its proper divisors (1781001600).

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

587879040 is a wasteful number, since it uses less digits than its factorization.

587879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 587879040 is about 24246.2170245175. The cubic root of 587879040 is about 837.7144216702.

The spelling of 587879040 in words is "five hundred eighty-seven million, eight hundred seventy-nine thousand, forty".