88100832 has 48 divisors (see below), whose sum is σ = 233673552. Its totient is φ = 29061120.

The previous prime is 88100827. The next prime is 88100839. The reversal of 88100832 is 23800188.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88100832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88100839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4582 + ... + 14042.

It is an arithmetic number, because the mean of its divisors is an integer number (4868199).

Almost surely, 2^88100832 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 88100832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116836776).

88100832 is an abundant number, since it is smaller than the sum of its proper divisors (145572720).

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

88100832 is a wasteful number, since it uses less digits than its factorization.

88100832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 88100832 is about 9386.2043446752. The cubic root of 88100832 is about 444.9658383909.

The spelling of 88100832 in words is "eighty-eight million, one hundred thousand, eight hundred thirty-two".