89119680 has 224 divisors, whose sum is σ = 314577984. Its totient is φ = 21233664.

The previous prime is 89119669. The next prime is 89119727. The reversal of 89119680 is 8691198.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461664 + ... + 461856.

It is an arithmetic number, because the mean of its divisors is an integer number (1404366).

Almost surely, 2^89119680 is an apocalyptic number.

89119680 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 89119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157288992).

89119680 is an abundant number, since it is smaller than the sum of its proper divisors (225458304).

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

89119680 is a wasteful number, since it uses less digits than its factorization.

89119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 89119680 is about 9440.3220284056. The cubic root of 89119680 is about 446.6745475207.

The spelling of 89119680 in words is "eighty-nine million, one hundred nineteen thousand, six hundred eighty".