667170120 has 64 divisors (see below), whose sum is σ = 2011950720. Its totient is φ = 176984064.

The previous prime is 667170113. The next prime is 667170137. The reversal of 667170120 is 21071766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 8757 + ... + 37563.

It is an arithmetic number, because the mean of its divisors is an integer number (31436730).

Almost surely, 2^667170120 is an apocalyptic number.

667170120 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 667170120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005975360).

667170120 is an abundant number, since it is smaller than the sum of its proper divisors (1344780600).

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

667170120 is a wasteful number, since it uses less digits than its factorization.

667170120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29014 (or 29010 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 667170120 is about 25829.6364666636. The cubic root of 667170120 is about 873.8003129024.

The spelling of 667170120 in words is "six hundred sixty-seven million, one hundred seventy thousand, one hundred twenty".