167948944 has 80 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 77096448.

The previous prime is 167948939. The next prime is 167948951. The reversal of 167948944 is 449849761.

It is a junction number, because it is equal to n+sod(n) for n = 167948891 and 167948900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540762 + ... + 1540870.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^167948944 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 167948944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

167948944 is an abundant number, since it is smaller than the sum of its proper divisors (185599856).

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

167948944 is a wasteful number, since it uses less digits than its factorization.

167948944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 167948944 is about 12959.5117191968. The cubic root of 167948944 is about 551.7289329332.

The spelling of 167948944 in words is "one hundred sixty-seven million, nine hundred forty-eight thousand, nine hundred forty-four".