667315572 has 192 divisors, whose sum is σ = 2022451200. Its totient is φ = 166233600.

The previous prime is 667315567. The next prime is 667315589. The reversal of 667315572 is 275513766.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4478554 + ... + 4478702.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2^667315572 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 667315572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011225600).

667315572 is an abundant number, since it is smaller than the sum of its proper divisors (1355135628).

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

667315572 is a wasteful number, since it uses less digits than its factorization.

667315572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 667315572 is about 25832.4519161461. The cubic root of 667315572 is about 873.8638083359.

The spelling of 667315572 in words is "six hundred sixty-seven million, three hundred fifteen thousand, five hundred seventy-two".