642960 has 120 divisors (see below), whose sum is σ = 2321280. Its totient is φ = 158976.

The previous prime is 642953. The next prime is 642973. The reversal of 642960 is 69246.

642960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642960.

It is an unprimeable number.

642960 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 23 ways as a sum of consecutive naturals, for example, 13657 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2⁶⁴²⁹⁶⁰ is an apocalyptic number.

642960 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 642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640).

642960 is an abundant number, since it is smaller than the sum of its proper divisors (1678320).

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

642960 is a wasteful number, since it uses less digits than its factorization.

642960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 642960 is about 801.8478658698. The cubic root of 642960 is about 86.3100401109.

The spelling of 642960 in words is "six hundred forty-two thousand, nine hundred sixty".