667102032 has 120 divisors (see below), whose sum is σ = 2004396264. Its totient is φ = 206364672.

The previous prime is 667102019. The next prime is 667102069. The reversal of 667102032 is 230201766.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 211877136 + 455224896 = 14556^2 + 21336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 667101987 and 667102005.

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, 176838 + ... + 180570.

Almost surely, 2^667102032 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 667102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002198132).

667102032 is an abundant number, since it is smaller than the sum of its proper divisors (1337294232).

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

667102032 is a wasteful number, since it uses less digits than its factorization.

667102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 667102032 is about 25828.3184121615. The cubic root of 667102032 is about 873.7705866812.

Adding to 667102032 its reverse (230201766), we get a palindrome (897303798).

The spelling of 667102032 in words is "six hundred sixty-seven million, one hundred two thousand, thirty-two".