642180 has 96 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 132480.

The previous prime is 642163. The next prime is 642197. The reversal of 642180 is 81246.

It is an interprime number because it is at equal distance from previous prime (642163) and next prime (642197).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642180.

It is an unprimeable number.

642180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4551 + ... + 4689.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁶⁴²¹⁸⁰ is an apocalyptic number.

642180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

642180 is an abundant number, since it is smaller than the sum of its proper divisors (1615740).

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

642180 is a wasteful number, since it uses less digits than its factorization.

642180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 642180 is about 801.3613417180. The cubic root of 642180 is about 86.2751239558.

The spelling of 642180 in words is "six hundred forty-two thousand, one hundred eighty".