667629312 has 216 divisors, whose sum is σ = 2098542096. Its totient is φ = 187858944.

The previous prime is 667629307. The next prime is 667629331. The reversal of 667629312 is 213926766.

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

It is a congruent number.

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, 4252338 + ... + 4252494.

Almost surely, 2^667629312 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 667629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049271048).

667629312 is an abundant number, since it is smaller than the sum of its proper divisors (1430912784).

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

667629312 is a wasteful number, since it uses less digits than its factorization.

667629312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 667629312 is about 25838.5237968426. The cubic root of 667629312 is about 874.0007365936. Note that the first 3 decimals are identical.

The spelling of 667629312 in words is "six hundred sixty-seven million, six hundred twenty-nine thousand, three hundred twelve".