89844480 has 216 divisors, whose sum is σ = 339590160. Its totient is φ = 21749760.

The previous prime is 89844437. The next prime is 89844527. The reversal of 89844480 is 8444898.

89844480 = 1251² + 1252² + ... + 1305².

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126366 + ... + 127074.

Almost surely, 2^89844480 is an apocalyptic number.

89844480 is a gapful number since it is divisible by the number (80) 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 89844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169795080).

89844480 is an abundant number, since it is smaller than the sum of its proper divisors (249745680).

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

89844480 is a wasteful number, since it uses less digits than its factorization.

89844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 730 counting only the distinct ones).

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

The square root of 89844480 is about 9478.6328128059. The cubic root of 89844480 is about 447.8821969172.

The spelling of 89844480 in words is "eighty-nine million, eight hundred forty-four thousand, four hundred eighty".