642233592 has 576 divisors, whose sum is σ = 2539555200. Its totient is φ = 143700480.

The previous prime is 642233569. The next prime is 642233617. The reversal of 642233592 is 295332246.

It is a happy number.

642233592 is a `hidden beast` number, since 6 + 42 + 23 + 3 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9585543 + ... + 9585609.

It is an arithmetic number, because the mean of its divisors is an integer number (4408950).

Almost surely, 2^642233592 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 642233592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

642233592 is an abundant number, since it is smaller than the sum of its proper divisors (1897321608).

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

642233592 is a wasteful number, since it uses less digits than its factorization.

642233592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 642233592 is about 25342.3280698518. The cubic root of 642233592 is about 862.7752386853.

The spelling of 642233592 in words is "six hundred forty-two million, two hundred thirty-three thousand, five hundred ninety-two".