89884080 has 400 divisors, whose sum is σ = 370538784. Its totient is φ = 19906560.

The previous prime is 89884009. The next prime is 89884087. The reversal of 89884080 is 8048898.

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

It is not an unprimeable number, because it can be changed into a prime (89884087) 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 79 ways as a sum of consecutive naturals, for example, 926592 + ... + 926688.

Almost surely, 2^89884080 is an apocalyptic number.

89884080 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 89884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185269392).

89884080 is an abundant number, since it is smaller than the sum of its proper divisors (280654704).

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

89884080 is a wasteful number, since it uses less digits than its factorization.

89884080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 89884080 is about 9480.7214915322. The cubic root of 89884080 is about 447.9479903483.

The spelling of 89884080 in words is "eighty-nine million, eight hundred eighty-four thousand, eighty".