167121248 has 96 divisors (see below), whose sum is σ = 398297088. Its totient is φ = 67507200.

The previous prime is 167121233. The next prime is 167121277. The reversal of 167121248 is 842121761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 284411 + ... + 284997.

It is an arithmetic number, because the mean of its divisors is an integer number (4148928).

Almost surely, 2^167121248 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 167121248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199148544).

167121248 is an abundant number, since it is smaller than the sum of its proper divisors (231175840).

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

167121248 is a wasteful number, since it uses less digits than its factorization.

167121248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 167121248 is about 12927.5383580943. The cubic root of 167121248 is about 550.8210854515.

The spelling of 167121248 in words is "one hundred sixty-seven million, one hundred twenty-one thousand, two hundred forty-eight".