89348448 has 96 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 24698880.

The previous prime is 89348443. The next prime is 89348461. The reversal of 89348448 is 84484398.

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 = 89348397 and 89348406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89348443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18688 + ... + 22976.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^89348448 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 89348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

89348448 is an abundant number, since it is smaller than the sum of its proper divisors (187408032).

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

89348448 is a wasteful number, since it uses less digits than its factorization.

89348448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4332 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 89348448 is about 9452.4307984772. The cubic root of 89348448 is about 447.0564217676.

The spelling of 89348448 in words is "eighty-nine million, three hundred forty-eight thousand, four hundred forty-eight".