667248960 has 224 divisors, whose sum is σ = 2500042752. Its totient is φ = 147548160.

The previous prime is 667248949. The next prime is 667249007. The reversal of 667248960 is 69842766.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206719 + ... + 209921.

Almost surely, 2^667248960 is an apocalyptic number.

667248960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250021376).

667248960 is an abundant number, since it is smaller than the sum of its proper divisors (1832793792).

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

667248960 is a wasteful number, since it uses less digits than its factorization.

667248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 667248960 is about 25831.1625754630. The cubic root of 667248960 is about 873.8347307623.

The spelling of 667248960 in words is "six hundred sixty-seven million, two hundred forty-eight thousand, nine hundred sixty".