89166240 has 144 divisors (see below), whose sum is σ = 320392800. Its totient is φ = 22519296.

The previous prime is 89166229. The next prime is 89166257. The reversal of 89166240 is 4266198.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×89166240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89166195 and 89166204.

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, 25731 + ... + 28989.

It is an arithmetic number, because the mean of its divisors is an integer number (2224950).

Almost surely, 2^89166240 is an apocalyptic number.

89166240 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 89166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160196400).

89166240 is an abundant number, since it is smaller than the sum of its proper divisors (231226560).

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

89166240 is a wasteful number, since it uses less digits than its factorization.

89166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89166240 is about 9442.7877239722. The cubic root of 89166240 is about 446.7523213869.

The spelling of 89166240 in words is "eighty-nine million, one hundred sixty-six thousand, two hundred forty".