647408160 has 384 divisors, whose sum is σ = 2632089600. Its totient is φ = 145566720.

The previous prime is 647408143. The next prime is 647408191. The reversal of 647408160 is 61804746.

647408160 is a `hidden beast` number, since 647 + 4 + 0 + 8 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2388825 + ... + 2389095.

It is an arithmetic number, because the mean of its divisors is an integer number (6854400).

Almost surely, 2^647408160 is an apocalyptic number.

647408160 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 647408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316044800).

647408160 is an abundant number, since it is smaller than the sum of its proper divisors (1984681440).

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

647408160 is a wasteful number, since it uses less digits than its factorization.

647408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 647408160 is about 25444.2166316827. The cubic root of 647408160 is about 865.0862110160.

It can be divided in two parts, 64740 and 8160, that added together give a square (72900 = 270²).

The spelling of 647408160 in words is "six hundred forty-seven million, four hundred eight thousand, one hundred sixty".