89842480 has 240 divisors, whose sum is σ = 274294944. Its totient is φ = 27095040.

The previous prime is 89842453. The next prime is 89842481. The reversal of 89842480 is 8424898.

It is a Smith number, since the sum of its digits (43) 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 (43).

It is not an unprimeable number, because it can be changed into a prime (89842481) 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 47 ways as a sum of consecutive naturals, for example, 2089339 + ... + 2089381.

Almost surely, 2^89842480 is an apocalyptic number.

89842480 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 89842480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

89842480 is an abundant number, since it is smaller than the sum of its proper divisors (184452464).

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

89842480 is a wasteful number, since it uses less digits than its factorization.

89842480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 89842480 is about 9478.5273117716. The cubic root of 89842480 is about 447.8788735038.

The spelling of 89842480 in words is "eighty-nine million, eight hundred forty-two thousand, four hundred eighty".