642096 has 120 divisors (see below), whose sum is σ = 2256800. Its totient is φ = 169344.

The previous prime is 642079. The next prime is 642113. The reversal of 642096 is 690246.

It is an interprime number because it is at equal distance from previous prime (642079) and next prime (642113).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49386 + ... + 49398.

2⁶⁴²⁰⁹⁶ 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 642096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128400).

642096 is an abundant number, since it is smaller than the sum of its proper divisors (1614704).

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

642096 is a wasteful number, since it uses less digits than its factorization.

642096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

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

The square root of 642096 is about 801.3089291902. The cubic root of 642096 is about 86.2713620685.

The spelling of 642096 in words is "six hundred forty-two thousand, ninety-six".