647997120 has 168 divisors, whose sum is σ = 2260945440. Its totient is φ = 170311680.

The previous prime is 647997107. The next prime is 647997121. The reversal of 647997120 is 21799746.

647997120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647997121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202896 + ... + 206064.

Almost surely, 2^647997120 is an apocalyptic number.

647997120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130472720).

647997120 is an abundant number, since it is smaller than the sum of its proper divisors (1612948320).

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

647997120 is a wasteful number, since it uses less digits than its factorization.

647997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 647997120 is about 25455.7875541104. The cubic root of 647997120 is about 865.3484601829.

The spelling of 647997120 in words is "six hundred forty-seven million, nine hundred ninety-seven thousand, one hundred twenty".