166126080 has 160 divisors (see below), whose sum is σ = 538965504. Its totient is φ = 43646976.

The previous prime is 166126073. The next prime is 166126087. The reversal of 166126080 is 80621661.

It is an interprime number because it is at equal distance from previous prime (166126073) and next prime (166126087).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (166126087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744849 + ... + 745071.

Almost surely, 2^166126080 is an apocalyptic number.

166126080 is a gapful number since it is divisible by the number (10) 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 166126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269482752).

166126080 is an abundant number, since it is smaller than the sum of its proper divisors (372839424).

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

166126080 is an equidigital number, since it uses as much as digits as its factorization.

166126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 166126080 is about 12888.9906509393. The cubic root of 166126080 is about 549.7255710822.

The spelling of 166126080 in words is "one hundred sixty-six million, one hundred twenty-six thousand, eighty".