89305960 has 32 divisors (see below), whose sum is σ = 203018760. Its totient is φ = 35352576.

The previous prime is 89305939. The next prime is 89305963. The reversal of 89305960 is 6950398.

It can be written as a sum of positive squares in 4 ways, for example, as 70660836 + 18645124 = 8406^2 + 4318^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (89305963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7629 + ... + 15388.

Almost surely, 2^89305960 is an apocalyptic number.

It is an amenable number.

89305960 is an abundant number, since it is smaller than the sum of its proper divisors (113712800).

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

89305960 is a wasteful number, since it uses less digits than its factorization.

89305960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23125 (or 23121 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 89305960 is about 9450.1830670099. The cubic root of 89305960 is about 446.9855473976.

The spelling of 89305960 in words is "eighty-nine million, three hundred five thousand, nine hundred sixty".