667957248 has 288 divisors, whose sum is σ = 2289530880. Its totient is φ = 183582720.

The previous prime is 667957201. The next prime is 667957267. The reversal of 667957248 is 842759766.

667957248 is a `hidden beast` number, since 6 + 67 + 9 + 572 + 4 + 8 = 666.

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

Its product of digits (5080320) is a multiple of the sum of its prime divisors (210).

It is a junction number, because it is equal to n+sod(n) for n = 667957194 and 667957203.

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, 3999661 + ... + 3999827.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2^667957248 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 667957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144765440).

667957248 is an abundant number, since it is smaller than the sum of its proper divisors (1621573632).

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

667957248 is a wasteful number, since it uses less digits than its factorization.

667957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 667957248 is about 25844.8688911358. The cubic root of 667957248 is about 874.1438146885.

The spelling of 667957248 in words is "six hundred sixty-seven million, nine hundred fifty-seven thousand, two hundred forty-eight".