598829840 has 160 divisors (see below), whose sum is σ = 1748459520. Its totient is φ = 185974272.

The previous prime is 598829839. The next prime is 598829849. The reversal of 598829840 is 48928895.

It is a Cunningham number, because it is equal to 24471²-1.

It is not an unprimeable number, because it can be changed into a prime (598829849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243497 + ... + 245943.

It is an arithmetic number, because the mean of its divisors is an integer number (10927872).

Almost surely, 2^598829840 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 598829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874229760).

598829840 is an abundant number, since it is smaller than the sum of its proper divisors (1149629680).

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

598829840 is a wasteful number, since it uses less digits than its factorization.

598829840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 53.

The square root of 598829840 is about 24470.9999795677. Note that the first 4 decimals coincide. The cubic root of 598829840 is about 842.8840022630.

The spelling of 598829840 in words is "five hundred ninety-eight million, eight hundred twenty-nine thousand, eight hundred forty".