842307648 has 336 divisors, whose sum is σ = 2860389504. Its totient is φ = 216760320.

The previous prime is 842307617. The next prime is 842307667. The reversal of 842307648 is 846703248.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8683536 + ... + 8683632.

It is an arithmetic number, because the mean of its divisors is an integer number (8513064).

Almost surely, 2^842307648 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 842307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430194752).

842307648 is an abundant number, since it is smaller than the sum of its proper divisors (2018081856).

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

842307648 is a wasteful number, since it uses less digits than its factorization.

842307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 842307648 is about 29022.5368980728. The cubic root of 842307648 is about 944.4020359745.

The spelling of 842307648 in words is "eight hundred forty-two million, three hundred seven thousand, six hundred forty-eight".