662948352 has 360 divisors, whose sum is σ = 2228646420. Its totient is φ = 189235200.

The previous prime is 662948309. The next prime is 662948369. The reversal of 662948352 is 253849266.

662948352 is a `hidden beast` number, since 6 + 6 + 294 + 8 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 615833856 + 47114496 = 24816^2 + 6864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 662948298 and 662948307.

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 35 ways as a sum of consecutive naturals, for example, 16169452 + ... + 16169492.

Almost surely, 2^662948352 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 662948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114323210).

662948352 is an abundant number, since it is smaller than the sum of its proper divisors (1565698068).

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

662948352 is a wasteful number, since it uses less digits than its factorization.

662948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 662948352 is about 25747.7834385797. The cubic root of 662948352 is about 871.9533123167.

The spelling of 662948352 in words is "six hundred sixty-two million, nine hundred forty-eight thousand, three hundred fifty-two".