167864448 has 128 divisors (see below), whose sum is σ = 465315840. Its totient is φ = 53580800.

The previous prime is 167864447. The next prime is 167864479. The reversal of 167864448 is 844468761.

167864448 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 167864397 and 167864406.

It is not an unprimeable number, because it can be changed into a prime (167864447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281343 + ... + 1281473.

It is an arithmetic number, because the mean of its divisors is an integer number (3635280).

Almost surely, 2^167864448 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 167864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232657920).

167864448 is an abundant number, since it is smaller than the sum of its proper divisors (297451392).

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

167864448 is a wasteful number, since it uses less digits than its factorization.

167864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 167864448 is about 12956.2513096960. The cubic root of 167864448 is about 551.6363914995.

The spelling of 167864448 in words is "one hundred sixty-seven million, eight hundred sixty-four thousand, four hundred forty-eight".