647632080 has 120 divisors (see below), whose sum is σ = 2180610432. Its totient is φ = 172253952.

The previous prime is 647632061. The next prime is 647632123. The reversal of 647632080 is 80236746.

647632080 is a `hidden beast` number, since 647 + 6 + 3 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×647632080² = 838854622090252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349717 + ... + 351563.

Almost surely, 2^647632080 is an apocalyptic number.

647632080 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 647632080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090305216).

647632080 is an abundant number, since it is smaller than the sum of its proper divisors (1532978352).

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

647632080 is a wasteful number, since it uses less digits than its factorization.

647632080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 647632080 is about 25448.6164653405. The cubic root of 647632080 is about 865.1859357274.

The spelling of 647632080 in words is "six hundred forty-seven million, six hundred thirty-two thousand, eighty".