88839648 has 72 divisors (see below), whose sum is σ = 253621368. Its totient is φ = 29498112.

The previous prime is 88839623. The next prime is 88839659. The reversal of 88839648 is 84693888.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88839594 and 88839603.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 107011 + ... + 107837.

It is an arithmetic number, because the mean of its divisors is an integer number (3522519).

Almost surely, 2^88839648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88839648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126810684).

88839648 is an abundant number, since it is smaller than the sum of its proper divisors (164781720).

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

88839648 is a wasteful number, since it uses less digits than its factorization.

88839648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1205 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 88839648 is about 9425.4786615853. The cubic root of 88839648 is about 446.2062094826.

Subtracting from 88839648 its reverse (84693888), we obtain a triangular number (4145760 = T₂₈₇₉).

The spelling of 88839648 in words is "eighty-eight million, eight hundred thirty-nine thousand, six hundred forty-eight".