842193600 has 168 divisors, whose sum is σ = 2925915408. Its totient is φ = 211353600.

The previous prime is 842193589. The next prime is 842193631. The reversal of 842193600 is 6391248.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76440 + ... + 86760.

Almost surely, 2^842193600 is an apocalyptic number.

842193600 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 842193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462957704).

842193600 is an abundant number, since it is smaller than the sum of its proper divisors (2083721808).

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

842193600 is a wasteful number, since it uses less digits than its factorization.

842193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 842193600 is about 29020.5720136596. The cubic root of 842193600 is about 944.3594102090.

The spelling of 842193600 in words is "eight hundred forty-two million, one hundred ninety-three thousand, six hundred".