647632400 has 60 divisors (see below), whose sum is σ = 1574763792. Its totient is φ = 255918720.

The previous prime is 647632399. The next prime is 647632409. The reversal of 647632400 is 4236746.

It is not an unprimeable number, because it can be changed into a prime (647632409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23447 + ... + 42953.

Almost surely, 2^647632400 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 647632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787381896).

647632400 is an abundant number, since it is smaller than the sum of its proper divisors (927131392).

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

647632400 is a wasteful number, since it uses less digits than its factorization.

647632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19608 (or 19597 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 647632400 is about 25448.6227525185. The cubic root of 647632400 is about 865.1860782258.

The spelling of 647632400 in words is "six hundred forty-seven million, six hundred thirty-two thousand, four hundred".