89478144 has 264 divisors, whose sum is σ = 315074240. Its totient is φ = 23887872.

The previous prime is 89478143. The next prime is 89478149. The reversal of 89478144 is 44187498.

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

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 89478144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89478143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225692 + ... + 1225764.

Almost surely, 2^89478144 is an apocalyptic number.

89478144 is a gapful number since it is divisible by the number (84) 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 89478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157537120).

89478144 is an abundant number, since it is smaller than the sum of its proper divisors (225596096).

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

89478144 is a wasteful number, since it uses less digits than its factorization.

89478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 89478144 is about 9459.2887681897. The cubic root of 89478144 is about 447.2726292070.

The spelling of 89478144 in words is "eighty-nine million, four hundred seventy-eight thousand, one hundred forty-four".