667208880 has 160 divisors (see below), whose sum is σ = 2475049920. Its totient is φ = 164229120.

The previous prime is 667208869. The next prime is 667208917. The reversal of 667208880 is 88802766.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16200 + ... + 39960.

It is an arithmetic number, because the mean of its divisors is an integer number (15469062).

Almost surely, 2^667208880 is an apocalyptic number.

667208880 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 667208880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237524960).

667208880 is an abundant number, since it is smaller than the sum of its proper divisors (1807841040).

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

667208880 is a wasteful number, since it uses less digits than its factorization.

667208880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23796 (or 23784 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 667208880 is about 25830.3867566864. The cubic root of 667208880 is about 873.8172340460.

The spelling of 667208880 in words is "six hundred sixty-seven million, two hundred eight thousand, eight hundred eighty".