712647936 has 576 divisors, whose sum is σ = 2857021440. Its totient is φ = 169205760.

The previous prime is 712647919. The next prime is 712647959. The reversal of 712647936 is 639746217.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 712647891 and 712647900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6918861 + ... + 6918963.

Almost surely, 2^712647936 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 712647936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428510720).

712647936 is an abundant number, since it is smaller than the sum of its proper divisors (2144373504).

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

712647936 is a wasteful number, since it uses less digits than its factorization.

712647936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 712647936 is about 26695.4665814254. The cubic root of 712647936 is about 893.2198048844.

The spelling of 712647936 in words is "seven hundred twelve million, six hundred forty-seven thousand, nine hundred thirty-six".