842688000 has 960 divisors, whose sum is σ = 3983316480. Its totient is φ = 165888000.

The previous prime is 842687999. The next prime is 842688013. The reversal of 842688000 is 886248.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44351991 + ... + 44352009.

It is an arithmetic number, because the mean of its divisors is an integer number (4149288).

Almost surely, 2^842688000 is an apocalyptic number.

842688000 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 842688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991658240).

842688000 is an abundant number, since it is smaller than the sum of its proper divisors (3140628480).

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

842688000 is a wasteful number, since it uses less digits than its factorization.

842688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

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

The square root of 842688000 is about 29029.0888592804. The cubic root of 842688000 is about 944.5441658127.

The spelling of 842688000 in words is "eight hundred forty-two million, six hundred eighty-eight thousand".