166734048 has 144 divisors (see below), whose sum is σ = 486984960. Its totient is φ = 49900032.

The previous prime is 166734047. The next prime is 166734053. The reversal of 166734048 is 840437661.

166734048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 166733997 and 166734015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166734041) 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 23 ways as a sum of consecutive naturals, for example, 697513 + ... + 697751.

It is an arithmetic number, because the mean of its divisors is an integer number (3381840).

Almost surely, 2^166734048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166734048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243492480).

166734048 is an abundant number, since it is smaller than the sum of its proper divisors (320250912).

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

166734048 is a wasteful number, since it uses less digits than its factorization.

166734048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 166734048 is about 12912.5538914655. The cubic root of 166734048 is about 550.3953609105.

The spelling of 166734048 in words is "one hundred sixty-six million, seven hundred thirty-four thousand, forty-eight".