88794144 has 144 divisors (see below), whose sum is σ = 276101280. Its totient is φ = 27993600.

The previous prime is 88794127. The next prime is 88794149. The reversal of 88794144 is 44149788.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 88794144.

It is not an unprimeable number, because it can be changed into a prime (88794149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147444 + ... + 148044.

It is an arithmetic number, because the mean of its divisors is an integer number (1917370).

Almost surely, 2^88794144 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 88794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138050640).

88794144 is an abundant number, since it is smaller than the sum of its proper divisors (187307136).

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

88794144 is a wasteful number, since it uses less digits than its factorization.

88794144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 625 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 88794144 is about 9423.0644696935. The cubic root of 88794144 is about 446.1300136420.

The spelling of 88794144 in words is "eighty-eight million, seven hundred ninety-four thousand, one hundred forty-four".