89919648 has 288 divisors, whose sum is σ = 325817856. Its totient is φ = 22892544.

The previous prime is 89919611. The next prime is 89919653. The reversal of 89919648 is 84691998.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 89919594 and 89919603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231740 + ... + 1231812.

It is an arithmetic number, because the mean of its divisors is an integer number (1131312).

Almost surely, 2^89919648 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 89919648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162908928).

89919648 is an abundant number, since it is smaller than the sum of its proper divisors (235898208).

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

89919648 is a wasteful number, since it uses less digits than its factorization.

89919648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 89919648 is about 9482.5971126058. The cubic root of 89919648 is about 448.0070683409.

The spelling of 89919648 in words is "eighty-nine million, nine hundred nineteen thousand, six hundred forty-eight".