89200848 has 80 divisors (see below), whose sum is σ = 252787392. Its totient is φ = 26880000.

The previous prime is 89200841. The next prime is 89200889. The reversal of 89200848 is 84800298.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89200841) 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, 126898 + ... + 127598.

Almost surely, 2^89200848 is an apocalyptic number.

89200848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89200848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696).

89200848 is an abundant number, since it is smaller than the sum of its proper divisors (163586544).

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

89200848 is a wasteful number, since it uses less digits than its factorization.

89200848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 89200848 is about 9444.6200558837. The cubic root of 89200848 is about 446.8101130819.

The spelling of 89200848 in words is "eighty-nine million, two hundred thousand, eight hundred forty-eight".