89670 has 48 divisors (see below), whose sum is σ = 254448. Its totient is φ = 20160.

The previous prime is 89669. The next prime is 89671. The reversal of 89670 is 7698.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89669) and next prime (89671).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440 + ... + 1500.

It is an arithmetic number, because the mean of its divisors is an integer number (5301).

2⁸⁹⁶⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224).

89670 is an abundant number, since it is smaller than the sum of its proper divisors (164778).

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

89670 is a wasteful number, since it uses less digits than its factorization.

89670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 89670 is about 299.4494949069. The cubic root of 89670 is about 44.7592076597.

The spelling of 89670 in words is "eighty-nine thousand, six hundred seventy".