662409216 has 312 divisors, whose sum is σ = 2330699904. Its totient is φ = 176947200.

The previous prime is 662409203. The next prime is 662409221. The reversal of 662409216 is 612904266.

662409216 is a `hidden beast` number, since 6 + 624 + 0 + 9 + 21 + 6 = 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 23 ways as a sum of consecutive naturals, for example, 4386741 + ... + 4386891.

It is an arithmetic number, because the mean of its divisors is an integer number (7470192).

Almost surely, 2^662409216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 662409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165349952).

662409216 is an abundant number, since it is smaller than the sum of its proper divisors (1668290688).

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

662409216 is a wasteful number, since it uses less digits than its factorization.

662409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 662409216 is about 25737.3117477331. The cubic root of 662409216 is about 871.7168791606.

The spelling of 662409216 in words is "six hundred sixty-two million, four hundred nine thousand, two hundred sixteen".