726488560 has 80 divisors (see below), whose sum is σ = 2032012800. Its totient is φ = 235968768.

The previous prime is 726488551. The next prime is 726488573. The reversal of 726488560 is 65884627.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 726488560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23500 + ... + 44779.

It is an arithmetic number, because the mean of its divisors is an integer number (25400160).

Almost surely, 2^726488560 is an apocalyptic number.

726488560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

726488560 is an abundant number, since it is smaller than the sum of its proper divisors (1305524240).

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

726488560 is a wasteful number, since it uses less digits than its factorization.

726488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68318 (or 68312 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 726488560 is about 26953.4517270052. The cubic root of 726488560 is about 898.9652964844.

The spelling of 726488560 in words is "seven hundred twenty-six million, four hundred eighty-eight thousand, five hundred sixty".