667257696 has 144 divisors (see below), whose sum is σ = 2264053680. Its totient is φ = 190632960.

The previous prime is 667257677. The next prime is 667257697. The reversal of 667257696 is 696752766.

667257696 is a `hidden beast` number, since 6 + 67 + 2 + 576 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667257697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34456 + ... + 50216.

It is an arithmetic number, because the mean of its divisors is an integer number (15722595).

Almost surely, 2^667257696 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 667257696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132026840).

667257696 is an abundant number, since it is smaller than the sum of its proper divisors (1596795984).

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

667257696 is a wasteful number, since it uses less digits than its factorization.

667257696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15794 (or 15773 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 667257696 is about 25831.3316729897. The cubic root of 667257696 is about 873.8385443249.

The spelling of 667257696 in words is "six hundred sixty-seven million, two hundred fifty-seven thousand, six hundred ninety-six".