166100480 has 320 divisors, whose sum is σ = 527966208. Its totient is φ = 48660480.

The previous prime is 166100461. The next prime is 166100483. The reversal of 166100480 is 84001661.

166100480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166100483) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5358065 + ... + 5358095.

Almost surely, 2^166100480 is an apocalyptic number.

166100480 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 166100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983104).

166100480 is an abundant number, since it is smaller than the sum of its proper divisors (361865728).

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

166100480 is a wasteful number, since it uses less digits than its factorization.

166100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 166100480 is about 12887.9975170699. The cubic root of 166100480 is about 549.6973320934.

The spelling of 166100480 in words is "one hundred sixty-six million, one hundred thousand, four hundred eighty".