89959680 has 288 divisors, whose sum is σ = 338486400. Its totient is φ = 22560768.

The previous prime is 89959657. The next prime is 89959697. The reversal of 89959680 is 8695998.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 656572 + ... + 656708.

It is an arithmetic number, because the mean of its divisors is an integer number (1175300).

Almost surely, 2^89959680 is an apocalyptic number.

89959680 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 89959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169243200).

89959680 is an abundant number, since it is smaller than the sum of its proper divisors (248526720).

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

89959680 is a wasteful number, since it uses less digits than its factorization.

89959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 89959680 is about 9484.7076918585. The cubic root of 89959680 is about 448.0735423486.

The spelling of 89959680 in words is "eighty-nine million, nine hundred fifty-nine thousand, six hundred eighty".