89941280 has 96 divisors (see below), whose sum is σ = 249697728. Its totient is φ = 30182400.

The previous prime is 89941277. The next prime is 89941289. The reversal of 89941280 is 8214998.

It is not an unprimeable number, because it can be changed into a prime (89941289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20915 + ... + 24845.

It is an arithmetic number, because the mean of its divisors is an integer number (2601018).

Almost surely, 2^89941280 is an apocalyptic number.

89941280 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 89941280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124848864).

89941280 is an abundant number, since it is smaller than the sum of its proper divisors (159756448).

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

89941280 is a wasteful number, since it uses less digits than its factorization.

89941280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 89941280 is about 9483.7376598048. The cubic root of 89941280 is about 448.0429911975.

The spelling of 89941280 in words is "eighty-nine million, nine hundred forty-one thousand, two hundred eighty".