842523000 has 256 divisors, whose sum is σ = 2905044480. Its totient is φ = 203280000.

The previous prime is 842522999. The next prime is 842523007. The reversal of 842523000 is 325248.

842523000 is digitally balanced in base 6, 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842523007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3992895 + ... + 3993105.

It is an arithmetic number, because the mean of its divisors is an integer number (11347830).

Almost surely, 2^842523000 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 842523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452522240).

842523000 is an abundant number, since it is smaller than the sum of its proper divisors (2062521480).

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

842523000 is a wasteful number, since it uses less digits than its factorization.

842523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 842523000 is about 29026.2467432495. The cubic root of 842523000 is about 944.4825139082.

Adding to 842523000 its reverse (325248), we get a palindrome (842848248).

The spelling of 842523000 in words is "eight hundred forty-two million, five hundred twenty-three thousand".