668622240 has 576 divisors, whose sum is σ = 2853107712. Its totient is φ = 140083200.

The previous prime is 668622233. The next prime is 668622247. The reversal of 668622240 is 42226866.

668622240 is a `hidden beast` number, since 6 + 6 + 8 + 622 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (668622233) and next prime (668622247).

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

It is a junction number, because it is equal to n+sod(n) for n = 668622195 and 668622204.

It is not an unprimeable number, because it can be changed into a prime (668622247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500545 + ... + 3500735.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2^668622240 is an apocalyptic number.

668622240 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 668622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426553856).

668622240 is an abundant number, since it is smaller than the sum of its proper divisors (2184485472).

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

668622240 is a wasteful number, since it uses less digits than its factorization.

668622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 668622240 is about 25857.7307589046. The cubic root of 668622240 is about 874.4338062242.

The spelling of 668622240 in words is "six hundred sixty-eight million, six hundred twenty-two thousand, two hundred forty".