712488960 has 240 divisors, whose sum is σ = 2556754200. Its totient is φ = 189775872.

The previous prime is 712488947. The next prime is 712488971. The reversal of 712488960 is 69884217.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 829011 + ... + 829869.

Almost surely, 2^712488960 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 712488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278377100).

712488960 is an abundant number, since it is smaller than the sum of its proper divisors (1844265240).

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

712488960 is an equidigital number, since it uses as much as digits as its factorization.

712488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 869 counting only the distinct ones).

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

The square root of 712488960 is about 26692.4888311300. The cubic root of 712488960 is about 893.1533807475.

It can be divided in two parts, 71248 and 8960, that added together give a palindrome (80208).

The spelling of 712488960 in words is "seven hundred twelve million, four hundred eighty-eight thousand, nine hundred sixty".