667152 has 60 divisors (see below), whose sum is σ = 1929564. Its totient is φ = 215040.

The previous prime is 667141. The next prime is 667171. The reversal of 667152 is 251766.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 646416 = 144^2 + 804^2 .

It is a super-2 number, since 2×667152² = 890183582208, which contains 22 as substring.

Its product of digits (2520) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 667152.

It is an unprimeable number.

667152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5848 + ... + 5960.

2⁶⁶⁷¹⁵² 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 667152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964782).

667152 is an abundant number, since it is smaller than the sum of its proper divisors (1262412).

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

667152 is a wasteful number, since it uses less digits than its factorization.

667152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 667152 is about 816.7937316116. The cubic root of 667152 is about 87.3792402174.

The spelling of 667152 in words is "six hundred sixty-seven thousand, one hundred fifty-two".