88532880 has 80 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 23509504.

The previous prime is 88532861. The next prime is 88532881. The reversal of 88532880 is 8823588.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (88532881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69691 + ... + 70949.

It is an arithmetic number, because the mean of its divisors is an integer number (3445092).

Almost surely, 2^88532880 is an apocalyptic number.

88532880 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 88532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

88532880 is an abundant number, since it is smaller than the sum of its proper divisors (187074480).

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

88532880 is a wasteful number, since it uses less digits than its factorization.

88532880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 88532880 is about 9409.1912511119. The cubic root of 88532880 is about 445.6920259852.

The spelling of 88532880 in words is "eighty-eight million, five hundred thirty-two thousand, eight hundred eighty".