842868000 has 288 divisors, whose sum is σ = 3223230192. Its totient is φ = 207360000.

The previous prime is 842867989. The next prime is 842868053. The reversal of 842868000 is 868248.

It can be written as a sum of positive squares in 8 ways, for example, as 41525136 + 801342864 = 6444^2 + 28308^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467100 + ... + 468900.

Almost surely, 2^842868000 is an apocalyptic number.

842868000 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 842868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611615096).

842868000 is an abundant number, since it is smaller than the sum of its proper divisors (2380362192).

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

842868000 is a wasteful number, since it uses less digits than its factorization.

842868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1824 counting only the distinct ones).

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

The square root of 842868000 is about 29032.1890321760. The cubic root of 842868000 is about 944.6114132582.

The spelling of 842868000 in words is "eight hundred forty-two million, eight hundred sixty-eight thousand".