89359120 has 20 divisors (see below), whose sum is σ = 207760140. Its totient is φ = 35743616.

The previous prime is 89359103. The next prime is 89359129. The reversal of 89359120 is 2195398.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 29637136 = 7728^2 + 5444^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 89359120.

It is not an unprimeable number, because it can be changed into a prime (89359129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 558415 + ... + 558574.

It is an arithmetic number, because the mean of its divisors is an integer number (10388007).

Almost surely, 2^89359120 is an apocalyptic number.

89359120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89359120 is an abundant number, since it is smaller than the sum of its proper divisors (118401020).

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

89359120 is a wasteful number, since it uses less digits than its factorization.

89359120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117002 (or 1116996 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 89359120 is about 9452.9952924986. The cubic root of 89359120 is about 447.0742202345.

The spelling of 89359120 in words is "eighty-nine million, three hundred fifty-nine thousand, one hundred twenty".