88382080 has 64 divisors (see below), whose sum is σ = 212663880. Its totient is φ = 35123200.

The previous prime is 88382057. The next prime is 88382081. The reversal of 88382080 is 8028388.

It can be written as a sum of positive squares in 4 ways, for example, as 88059456 + 322624 = 9384^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×88382080² = 15622784130252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88382081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125730 + ... + 126430.

Almost surely, 2^88382080 is an apocalyptic number.

88382080 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 88382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106331940).

88382080 is an abundant number, since it is smaller than the sum of its proper divisors (124281800).

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

88382080 is a wasteful number, since it uses less digits than its factorization.

88382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 88382080 is about 9401.1743947232. The cubic root of 88382080 is about 445.4388298319.

The spelling of 88382080 in words is "eighty-eight million, three hundred eighty-two thousand, eighty".