88148160 has 168 divisors, whose sum is σ = 306848256. Its totient is φ = 23224320.

The previous prime is 88148143. The next prime is 88148161. The reversal of 88148160 is 6184188.

It is a super-2 number, since 2×88148160² = 15540196222771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88148161) 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 23 ways as a sum of consecutive naturals, for example, 365640 + ... + 365880.

Almost surely, 2^88148160 is an apocalyptic number.

88148160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153424128).

88148160 is an abundant number, since it is smaller than the sum of its proper divisors (218700096).

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

88148160 is a wasteful number, since it uses less digits than its factorization.

88148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 88148160 is about 9388.7251530759. The cubic root of 88148160 is about 445.0455030691.

The spelling of 88148160 in words is "eighty-eight million, one hundred forty-eight thousand, one hundred sixty".