724098816 has 432 divisors, whose sum is σ = 2678457600. Its totient is φ = 183140352.

The previous prime is 724098803. The next prime is 724098821. The reversal of 724098816 is 618890427.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5209275 + ... + 5209413.

Almost surely, 2^724098816 is an apocalyptic number.

724098816 is a gapful number since it is divisible by the number (76) 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 724098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339228800).

724098816 is an abundant number, since it is smaller than the sum of its proper divisors (1954358784).

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

724098816 is a wasteful number, since it uses less digits than its factorization.

724098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 724098816 is about 26909.0842653554. The cubic root of 724098816 is about 897.9785148042.

It can be divided in two parts, 72409 and 8816, that added together give a square (81225 = 285²).

The spelling of 724098816 in words is "seven hundred twenty-four million, ninety-eight thousand, eight hundred sixteen".