89242848 has 144 divisors (see below), whose sum is σ = 273611520. Its totient is φ = 27502848.

The previous prime is 89242847. The next prime is 89242849. The reversal of 89242848 is 84824298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89242847) and next prime (89242849).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×89242848² = 15928571838302208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89242841) 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 23 ways as a sum of consecutive naturals, for example, 257011 + ... + 257357.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 2^89242848 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 89242848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136805760).

89242848 is an abundant number, since it is smaller than the sum of its proper divisors (184368672).

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

89242848 is a wasteful number, since it uses less digits than its factorization.

89242848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 89242848 is about 9446.8432822822. The cubic root of 89242848 is about 446.8802285596.

The spelling of 89242848 in words is "eighty-nine million, two hundred forty-two thousand, eight hundred forty-eight".