842173920 has 576 divisors, whose sum is σ = 3528645120. Its totient is φ = 178827264.

The previous prime is 842173919. The next prime is 842173921. The reversal of 842173920 is 29371248.

It is an interprime number because it is at equal distance from previous prime (842173919) and next prime (842173921).

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 (842173921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12569727 + ... + 12569793.

It is an arithmetic number, because the mean of its divisors is an integer number (6126120).

Almost surely, 2^842173920 is an apocalyptic number.

842173920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764322560).

842173920 is an abundant number, since it is smaller than the sum of its proper divisors (2686471200).

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

842173920 is a wasteful number, since it uses less digits than its factorization.

842173920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 842173920 is about 29020.2329418632. The cubic root of 842173920 is about 944.3520543635.

The spelling of 842173920 in words is "eight hundred forty-two million, one hundred seventy-three thousand, nine hundred twenty".