642936192 has 128 divisors (see below), whose sum is σ = 1823148000. Its totient is φ = 200048640.

The previous prime is 642936191. The next prime is 642936199. The reversal of 642936192 is 291639246.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642936191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972342 + ... + 973002.

Almost surely, 2^642936192 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 642936192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911574000).

642936192 is an abundant number, since it is smaller than the sum of its proper divisors (1180211808).

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

642936192 is a wasteful number, since it uses less digits than its factorization.

642936192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 642936192 is about 25356.1864640565. The cubic root of 642936192 is about 863.0897478036.

The spelling of 642936192 in words is "six hundred forty-two million, nine hundred thirty-six thousand, one hundred ninety-two".