642912 has 48 divisors (see below), whose sum is σ = 1742832. Its totient is φ = 207360.

The previous prime is 642907. The next prime is 642931. The reversal of 642912 is 219246.

642912 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 642912.

It is an unprimeable number.

642912 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, 3462 + ... + 3642.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2⁶⁴²⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871416).

642912 is an abundant number, since it is smaller than the sum of its proper divisors (1099920).

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

642912 is a wasteful number, since it uses less digits than its factorization.

642912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 642912 is about 801.8179344465. The cubic root of 642912 is about 86.3078922401.

It can be divided in two parts, 6429 and 12, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 642912 in words is "six hundred forty-two thousand, nine hundred twelve".