89806080 has 288 divisors, whose sum is σ = 354380544. Its totient is φ = 18874368.

The previous prime is 89806061. The next prime is 89806097. The reversal of 89806080 is 8060898.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 4.

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, 349312 + ... + 349568.

It is an arithmetic number, because the mean of its divisors is an integer number (1230488).

Almost surely, 2^89806080 is an apocalyptic number.

89806080 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 89806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177190272).

89806080 is an abundant number, since it is smaller than the sum of its proper divisors (264574464).

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

89806080 is a wasteful number, since it uses less digits than its factorization.

89806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 89806080 is about 9476.6069877356. The cubic root of 89806080 is about 447.8183787608.

The spelling of 89806080 in words is "eighty-nine million, eight hundred six thousand, eighty".