712617648 has 160 divisors (see below), whose sum is σ = 2063439360. Its totient is φ = 210862080.

The previous prime is 712617641. The next prime is 712617727. The reversal of 712617648 is 846716217.

It is not an unprimeable number, because it can be changed into a prime (712617641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111408 + ... + 1112048.

It is an arithmetic number, because the mean of its divisors is an integer number (12896496).

Almost surely, 2^712617648 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 712617648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031719680).

712617648 is an abundant number, since it is smaller than the sum of its proper divisors (1350821712).

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

712617648 is a wasteful number, since it uses less digits than its factorization.

712617648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 712617648 is about 26694.8992880663. The cubic root of 712617648 is about 893.2071505645.

The spelling of 712617648 in words is "seven hundred twelve million, six hundred seventeen thousand, six hundred forty-eight".