842132088 has 192 divisors, whose sum is σ = 2704066560. Its totient is φ = 231787008.

The previous prime is 842132033. The next prime is 842132089. The reversal of 842132088 is 880231248.

It is a happy number.

842132088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842132089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728981 + ... + 1729467.

It is an arithmetic number, because the mean of its divisors is an integer number (14083680).

Almost surely, 2^842132088 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 842132088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352033280).

842132088 is an abundant number, since it is smaller than the sum of its proper divisors (1861934472).

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

842132088 is a wasteful number, since it uses less digits than its factorization.

842132088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 842132088 is about 29019.5121943840. The cubic root of 842132088 is about 944.3364183259.

The spelling of 842132088 in words is "eight hundred forty-two million, one hundred thirty-two thousand, eighty-eight".