662238720 has 640 divisors, whose sum is σ = 2804820480. Its totient is φ = 145981440.

The previous prime is 662238649. The next prime is 662238761. The reversal of 662238720 is 27832266.

662238720 is a `hidden beast` number, since 6 + 622 + 3 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 9884127 + ... + 9884193.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2^662238720 is an apocalyptic number.

662238720 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 662238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402410240).

662238720 is an abundant number, since it is smaller than the sum of its proper divisors (2142581760).

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

662238720 is a wasteful number, since it uses less digits than its factorization.

662238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

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

The square root of 662238720 is about 25733.9993005362. Note that the first 3 decimals coincide. The cubic root of 662238720 is about 871.6420830020.

Adding to 662238720 its sum of digits (36), we get a square (662238756 = 25734²).

The spelling of 662238720 in words is "six hundred sixty-two million, two hundred thirty-eight thousand, seven hundred twenty".