88071984 has 360 divisors, whose sum is σ = 339835392. Its totient is φ = 20666880.

The previous prime is 88071979. The next prime is 88072007. The reversal of 88071984 is 48917088.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1873849 + ... + 1873895.

Almost surely, 2^88071984 is an apocalyptic number.

88071984 is a gapful number since it is divisible by the number (84) 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 88071984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169917696).

88071984 is an abundant number, since it is smaller than the sum of its proper divisors (251763408).

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

88071984 is a wasteful number, since it uses less digits than its factorization.

88071984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 88071984 is about 9384.6674954417. The cubic root of 88071984 is about 444.9172661072.

The spelling of 88071984 in words is "eighty-eight million, seventy-one thousand, nine hundred eighty-four".