667207296 has 384 divisors, whose sum is σ = 2413532160. Its totient is φ = 172523520.

The previous prime is 667207291. The next prime is 667207297. The reversal of 667207296 is 692702766.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (667207291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4249650 + ... + 4249806.

It is an arithmetic number, because the mean of its divisors is an integer number (6285240).

Almost surely, 2^667207296 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 667207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206766080).

667207296 is an abundant number, since it is smaller than the sum of its proper divisors (1746324864).

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

667207296 is a wasteful number, since it uses less digits than its factorization.

667207296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 667207296 is about 25830.3560951064. The cubic root of 667207296 is about 873.8165425446.

The spelling of 667207296 in words is "six hundred sixty-seven million, two hundred seven thousand, two hundred ninety-six".