598461696 has 540 divisors, whose sum is σ = 2255594880. Its totient is φ = 156764160.

The previous prime is 598461683. The next prime is 598461697. The reversal of 598461696 is 696164895.

It is a happy number.

598461696 is a `hidden beast` number, since 5 + 98 + 461 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (598461697) 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 59 ways as a sum of consecutive naturals, for example, 19305201 + ... + 19305231.

Almost surely, 2^598461696 is an apocalyptic number.

598461696 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 598461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127797440).

598461696 is an abundant number, since it is smaller than the sum of its proper divisors (1657133184).

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

598461696 is a wasteful number, since it uses less digits than its factorization.

598461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 62 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 598461696 is about 24463.4767766154. The cubic root of 598461696 is about 842.7112396085.

The spelling of 598461696 in words is "five hundred ninety-eight million, four hundred sixty-one thousand, six hundred ninety-six".