647026400 has 72 divisors (see below), whose sum is σ = 1622318040. Its totient is φ = 251804160.

The previous prime is 647026397. The next prime is 647026403. The reversal of 647026400 is 4620746.

It is an interprime number because it is at equal distance from previous prime (647026397) and next prime (647026403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647026403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18671 + ... + 40529.

It is an arithmetic number, because the mean of its divisors is an integer number (22532195).

Almost surely, 2^647026400 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 647026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811159020).

647026400 is an abundant number, since it is smaller than the sum of its proper divisors (975291640).

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

647026400 is a wasteful number, since it uses less digits than its factorization.

647026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21916 (or 21903 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 647026400 is about 25436.7136242086. The cubic root of 647026400 is about 864.9161378597.

The spelling of 647026400 in words is "six hundred forty-seven million, twenty-six thousand, four hundred".