89247648 has 96 divisors (see below), whose sum is σ = 272401920. Its totient is φ = 25056000.

The previous prime is 89247629. The next prime is 89247649. The reversal of 89247648 is 84674298.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 89247597 and 89247606.

It is not an unprimeable number, because it can be changed into a prime (89247649) 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, 38523 + ... + 40773.

It is an arithmetic number, because the mean of its divisors is an integer number (2837520).

Almost surely, 2^89247648 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 89247648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136200960).

89247648 is an abundant number, since it is smaller than the sum of its proper divisors (183154272).

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

89247648 is a wasteful number, since it uses less digits than its factorization.

89247648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2322 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 89247648 is about 9447.0973319851. The cubic root of 89247648 is about 446.8882403562. Note that the first 3 decimals are identical.

The spelling of 89247648 in words is "eighty-nine million, two hundred forty-seven thousand, six hundred forty-eight".