88282080 has 144 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 23270400.

The previous prime is 88282063. The next prime is 88282087. The reversal of 88282080 is 8028288.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88282087) 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 23 ways as a sum of consecutive naturals, for example, 145137 + ... + 145743.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2^88282080 is an apocalyptic number.

88282080 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 88282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

88282080 is an abundant number, since it is smaller than the sum of its proper divisors (216464544).

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

88282080 is a wasteful number, since it uses less digits than its factorization.

88282080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88282080 is about 9395.8544050022. The cubic root of 88282080 is about 445.2707690165.

The spelling of 88282080 in words is "eighty-eight million, two hundred eighty-two thousand, eighty".