88149168 has 80 divisors (see below), whose sum is σ = 255519360. Its totient is φ = 29093184.

The previous prime is 88149167. The next prime is 88149211. The reversal of 88149168 is 86194188.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88149161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45271 + ... + 47177.

It is an arithmetic number, because the mean of its divisors is an integer number (3193992).

Almost surely, 2^88149168 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 88149168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127759680).

88149168 is an abundant number, since it is smaller than the sum of its proper divisors (167370192).

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

88149168 is a wasteful number, since it uses less digits than its factorization.

88149168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2019 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 88149168 is about 9388.7788343320. The cubic root of 88149168 is about 445.0471994711.

The spelling of 88149168 in words is "eighty-eight million, one hundred forty-nine thousand, one hundred sixty-eight".