642120 has 32 divisors (see below), whose sum is σ = 1926720. Its totient is φ = 171200.

The previous prime is 642113. The next prime is 642121. The reversal of 642120 is 21246.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 642120.

It is not an unprimeable number, because it can be changed into a prime (642121) by changing a digit.

642120 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 7 ways as a sum of consecutive naturals, for example, 2556 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (60210).

2⁶⁴²¹²⁰ is an apocalyptic number.

642120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642120 is an abundant number, since it is smaller than the sum of its proper divisors (1284600).

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

642120 is a wasteful number, since it uses less digits than its factorization.

642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 642120 is about 801.3239045480. The cubic root of 642120 is about 86.2724369269.

Adding to 642120 its reverse (21246), we get a palindrome (663366).

It can be divided in two parts, 6421 and 20, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 642120 in words is "six hundred forty-two thousand, one hundred twenty".