32670 has 48 divisors (see below), whose sum is σ = 95760. Its totient is φ = 7920.

The previous prime is 32653. The next prime is 32687. The reversal of 32670 is 7623.

It is an interprime number because it is at equal distance from previous prime (32653) and next prime (32687).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2965 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

2³²⁶⁷⁰ is an apocalyptic number.

32670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

32670 is an abundant number, since it is smaller than the sum of its proper divisors (63090).

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

32670 is a wasteful number, since it uses less digits than its factorization.

32670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 32670 is about 180.7484439767. The cubic root of 32670 is about 31.9680671030.

The spelling of 32670 in words is "thirty-two thousand, six hundred seventy".