598416 has 80 divisors (see below), whose sum is σ = 1916544. Its totient is φ = 156672.

The previous prime is 598399. The next prime is 598421. The reversal of 598416 is 614895.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

598416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4300 + ... + 4436.

2⁵⁹⁸⁴¹⁶ is an apocalyptic number.

598416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 598416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958272).

598416 is an abundant number, since it is smaller than the sum of its proper divisors (1318128).

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

598416 is a wasteful number, since it uses less digits than its factorization.

598416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 598416 is about 773.5735259172. The cubic root of 598416 is about 84.2689790442.

The spelling of 598416 in words is "five hundred ninety-eight thousand, four hundred sixteen".