647212032 has 264 divisors, whose sum is σ = 2061247120. Its totient is φ = 203046912.

The previous prime is 647212001. The next prime is 647212063. The reversal of 647212032 is 230212746.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

647212032 is a `hidden beast` number, since 647 + 2 + 12 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (647212001) and next prime (647212063).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 647211987 and 647212005.

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 23 ways as a sum of consecutive naturals, for example, 38071288 + ... + 38071304.

Almost surely, 2^647212032 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 647212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030623560).

647212032 is an abundant number, since it is smaller than the sum of its proper divisors (1414035088).

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

647212032 is an frugal number, since it uses more digits than its factorization.

647212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 647212032 is about 25440.3622615717. The cubic root of 647212032 is about 864.9988448201.

Multiplying 647212032 by its sum of digits (27), we get a square (17474724864 = 132192²).

647212032 divided by its sum of digits (27) gives a square (23970816 = 4896²).

Adding to 647212032 its reverse (230212746), we get a palindrome (877424778).

The spelling of 647212032 in words is "six hundred forty-seven million, two hundred twelve thousand, thirty-two".