590248680 has 256 divisors, whose sum is σ = 2200780800. Its totient is φ = 123586560.

The previous prime is 590248667. The next prime is 590248691. The reversal of 590248680 is 86842095.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494164 + ... + 495356.

It is an arithmetic number, because the mean of its divisors is an integer number (8596800).

Almost surely, 2^590248680 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 590248680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100390400).

590248680 is an abundant number, since it is smaller than the sum of its proper divisors (1610532120).

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

590248680 is a wasteful number, since it uses less digits than its factorization.

590248680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 590248680 is about 24295.0340604824. The cubic root of 590248680 is about 838.8384739831.

The spelling of 590248680 in words is "five hundred ninety million, two hundred forty-eight thousand, six hundred eighty".