667784160 has 144 divisors (see below), whose sum is σ = 2357540640. Its totient is φ = 171924480.

The previous prime is 667784137. The next prime is 667784197. The reversal of 667784160 is 61487766.

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 (45).

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, 33765 + ... + 49755.

It is an arithmetic number, because the mean of its divisors is an integer number (16371810).

Almost surely, 2^667784160 is an apocalyptic number.

667784160 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 667784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178770320).

667784160 is an abundant number, since it is smaller than the sum of its proper divisors (1689756480).

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

667784160 is a wasteful number, since it uses less digits than its factorization.

667784160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16041 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 667784160 is about 25841.5200791285. The cubic root of 667784160 is about 874.0683024328.

The spelling of 667784160 in words is "six hundred sixty-seven million, seven hundred eighty-four thousand, one hundred sixty".