647670400 has 96 divisors (see below), whose sum is σ = 1723131900. Its totient is φ = 239124480.

The previous prime is 647670371. The next prime is 647670407. The reversal of 647670400 is 4076746.

It can be written as a sum of positive squares in 6 ways, for example, as 91087936 + 556582464 = 9544^2 + 23592^2 .

It is not an unprimeable number, because it can be changed into a prime (647670407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33816 + ... + 49384.

Almost surely, 2^647670400 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 647670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861565950).

647670400 is an abundant number, since it is smaller than the sum of its proper divisors (1075461500).

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

647670400 is a wasteful number, since it uses less digits than its factorization.

647670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 15589 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 647670400 is about 25449.3693438560. The cubic root of 647670400 is about 865.2029995677.

The spelling of 647670400 in words is "six hundred forty-seven million, six hundred seventy thousand, four hundred".