668363136 has 96 divisors (see below), whose sum is σ = 2065249080. Its totient is φ = 190955520.

The previous prime is 668363093. The next prime is 668363149. The reversal of 668363136 is 631363866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 36576.

Almost surely, 2^668363136 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 668363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032624540).

668363136 is an abundant number, since it is smaller than the sum of its proper divisors (1396885944).

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

668363136 is a wasteful number, since it uses less digits than its factorization.

668363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35552 (or 35533 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 668363136 is about 25852.7200889964. The cubic root of 668363136 is about 874.3208383148.

The spelling of 668363136 in words is "six hundred sixty-eight million, three hundred sixty-three thousand, one hundred thirty-six".