842523840 has 336 divisors, whose sum is σ = 3102559200. Its totient is φ = 209240064.

The previous prime is 842523839. The next prime is 842523853. The reversal of 842523840 is 48325248.

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

It is a junction number, because it is equal to n+sod(n) for n = 842523795 and 842523804.

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, 4869994 + ... + 4870166.

Almost surely, 2^842523840 is an apocalyptic number.

842523840 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 842523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551279600).

842523840 is an abundant number, since it is smaller than the sum of its proper divisors (2260035360).

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

842523840 is a wasteful number, since it uses less digits than its factorization.

842523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 842523840 is about 29026.2612129086. The cubic root of 842523840 is about 944.4828277928.

The spelling of 842523840 in words is "eight hundred forty-two million, five hundred twenty-three thousand, eight hundred forty".