840888048 has 480 divisors, whose sum is σ = 3088357888. Its totient is φ = 191600640.

The previous prime is 840888047. The next prime is 840888077.

840888048 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 840887988 and 840888006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840888047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19555515 + ... + 19555557.

Almost surely, 2^840888048 is an apocalyptic number.

840888048 is a gapful number since it is divisible by the number (88) 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 840888048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544178944).

840888048 is an abundant number, since it is smaller than the sum of its proper divisors (2247469840).

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

840888048 is a wasteful number, since it uses less digits than its factorization.

840888048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The square root of 840888048 is about 28998.0697288630. The cubic root of 840888048 is about 943.8711820297.

Multiplying 840888048 by its sum of digits (48), we get a palindrome (40362626304).

It can be divided in two parts, 840 and 888048, that added together give a palindrome (888888).

The spelling of 840888048 in words is "eight hundred forty million, eight hundred eighty-eight thousand, forty-eight".