647814960 has 240 divisors, whose sum is σ = 2380201824. Its totient is φ = 156930048.

The previous prime is 647814949. The next prime is 647814977. The reversal of 647814960 is 69418746.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626604 + ... + 627636.

Almost surely, 2^647814960 is an apocalyptic number.

647814960 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 647814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190100912).

647814960 is an abundant number, since it is smaller than the sum of its proper divisors (1732386864).

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

647814960 is a wasteful number, since it uses less digits than its factorization.

647814960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 647814960 is about 25452.2093343584. The cubic root of 647814960 is about 865.2673658675.

The spelling of 647814960 in words is "six hundred forty-seven million, eight hundred fourteen thousand, nine hundred sixty".