88991144 has 48 divisors (see below), whose sum is σ = 184936500. Its totient is φ = 40113920.

The previous prime is 88991129. The next prime is 88991183. The reversal of 88991144 is 44119988.

It can be written as a sum of positive squares in 2 ways, for example, as 66618244 + 22372900 = 8162^2 + 4730^2 .

It is a super-3 number, since 3×88991144³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88991095 and 88991104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143924 + ... + 144540.

Almost surely, 2^88991144 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 88991144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92468250).

88991144 is an abundant number, since it is smaller than the sum of its proper divisors (95945356).

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

88991144 is a wasteful number, since it uses less digits than its factorization.

88991144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 88991144 is about 9433.5117533186. The cubic root of 88991144 is about 446.4597001599.

The spelling of 88991144 in words is "eighty-eight million, nine hundred ninety-one thousand, one hundred forty-four".