88146336 has 48 divisors (see below), whose sum is σ = 233700768. Its totient is φ = 29088000.

The previous prime is 88146329. The next prime is 88146349. The reversal of 88146336 is 63364188.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 88146294 and 88146303.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5151 + ... + 14241.

It is an arithmetic number, because the mean of its divisors is an integer number (4868766).

Almost surely, 2^88146336 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 88146336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116850384).

88146336 is an abundant number, since it is smaller than the sum of its proper divisors (145554432).

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

88146336 is a wasteful number, since it uses less digits than its factorization.

88146336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9197 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 88146336 is about 9388.6280147847. The cubic root of 88146336 is about 445.0424333563.

The spelling of 88146336 in words is "eighty-eight million, one hundred forty-six thousand, three hundred thirty-six".