89970 has 16 divisors (see below), whose sum is σ = 216000. Its totient is φ = 23984.

The previous prime is 89963. The next prime is 89977. The reversal of 89970 is 7998.

It is an interprime number because it is at equal distance from previous prime (89963) and next prime (89977).

It is not an unprimeable number, because it can be changed into a prime (89977) by changing a digit.

89970 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1470 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2⁸⁹⁹⁷⁰ is an apocalyptic number.

89970 is an abundant number, since it is smaller than the sum of its proper divisors (126030).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

89970 is a wasteful number, since it uses less digits than its factorization.

89970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 89970 is about 299.9499958326. The cubic root of 89970 is about 44.8090675736.

It can be divided in two parts, 899 and 70, that added together give a palindrome (969).

The spelling of 89970 in words is "eighty-nine thousand, nine hundred seventy".