647766240 has 288 divisors, whose sum is σ = 2364888960. Its totient is φ = 148515840.

The previous prime is 647766211. The next prime is 647766253. The reversal of 647766240 is 42667746.

It is a super-2 number, since 2×647766240² = 839202203367475200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 647766192 and 647766201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103227 + ... + 1103813.

It is an arithmetic number, because the mean of its divisors is an integer number (8211420).

Almost surely, 2^647766240 is an apocalyptic number.

647766240 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 647766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182444480).

647766240 is an abundant number, since it is smaller than the sum of its proper divisors (1717122720).

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

647766240 is a wasteful number, since it uses less digits than its factorization.

647766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 647766240 is about 25451.2522285250. The cubic root of 647766240 is about 865.2456740339.

The spelling of 647766240 in words is "six hundred forty-seven million, seven hundred sixty-six thousand, two hundred forty".