667002240 has 192 divisors, whose sum is σ = 2357681040. Its totient is φ = 173666304.

The previous prime is 667002211. The next prime is 667002247. The reversal of 667002240 is 42200766.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667002247) 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, 246334 + ... + 249026.

Almost surely, 2^667002240 is an apocalyptic number.

667002240 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 667002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178840520).

667002240 is an abundant number, since it is smaller than the sum of its proper divisors (1690678800).

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

667002240 is a wasteful number, since it uses less digits than its factorization.

667002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 667002240 is about 25826.3865068267. The cubic root of 667002240 is about 873.7270153041.

The spelling of 667002240 in words is "six hundred sixty-seven million, two thousand, two hundred forty".