166920048 has 160 divisors (see below), whose sum is σ = 499174400. Its totient is φ = 53374464.

The previous prime is 166920043. The next prime is 166920053. The reversal of 166920048 is 840029661.

It is an interprime number because it is at equal distance from previous prime (166920043) and next prime (166920053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166919994 and 166920021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166920043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2112873 + ... + 2112951.

It is an arithmetic number, because the mean of its divisors is an integer number (3119840).

Almost surely, 2^166920048 is an apocalyptic number.

166920048 is a gapful number since it is divisible by the number (18) 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 166920048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249587200).

166920048 is an abundant number, since it is smaller than the sum of its proper divisors (332254352).

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

166920048 is a wasteful number, since it uses less digits than its factorization.

166920048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 166920048 is about 12919.7541772280. The cubic root of 166920048 is about 550.5999491842.

The spelling of 166920048 in words is "one hundred sixty-six million, nine hundred twenty thousand, forty-eight".