88124880 has 80 divisors (see below), whose sum is σ = 274089600. Its totient is φ = 23422464.

The previous prime is 88124873. The next prime is 88124887. The reversal of 88124880 is 8842188.

It is an interprime number because it is at equal distance from previous prime (88124873) and next prime (88124887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88124887) 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 15 ways as a sum of consecutive naturals, for example, 143454 + ... + 144066.

It is an arithmetic number, because the mean of its divisors is an integer number (3426120).

Almost surely, 2^88124880 is an apocalyptic number.

88124880 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 88124880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137044800).

88124880 is an abundant number, since it is smaller than the sum of its proper divisors (185964720).

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

88124880 is a wasteful number, since it uses less digits than its factorization.

88124880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 88124880 is about 9387.4852862734. The cubic root of 88124880 is about 445.0063206610.

The spelling of 88124880 in words is "eighty-eight million, one hundred twenty-four thousand, eight hundred eighty".