667439136 has 288 divisors, whose sum is σ = 2412789120. Its totient is φ = 175758336.

The previous prime is 667439131. The next prime is 667439141. The reversal of 667439136 is 631934766.

It is an interprime number because it is at equal distance from previous prime (667439131) and next prime (667439141).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 667439091 and 667439100.

It is not an unprimeable number, because it can be changed into a prime (667439131) 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, 1021786 + ... + 1022438.

It is an arithmetic number, because the mean of its divisors is an integer number (8377740).

Almost surely, 2^667439136 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 667439136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206394560).

667439136 is an abundant number, since it is smaller than the sum of its proper divisors (1745349984).

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

667439136 is a wasteful number, since it uses less digits than its factorization.

667439136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 678 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 667439136 is about 25834.8434483354. The cubic root of 667439136 is about 873.9177415614.

The spelling of 667439136 in words is "six hundred sixty-seven million, four hundred thirty-nine thousand, one hundred thirty-six".