1648122840 has 288 divisors, whose sum is σ = 6711148080. Its totient is φ = 347687424.

The previous prime is 1648122793. The next prime is 1648122863. The reversal of 1648122840 is 482218461.

1648122840 is a `hidden beast` number, since 1 + 648 + 1 + 2 + 2 + 8 + 4 + 0 = 666.

1648122840 is digitally balanced in base 4 and base 6, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1648122795 and 1648122804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225727 + ... + 232913.

Almost surely, 2^1648122840 is an apocalyptic number.

1648122840 is a gapful number since it is divisible by the number (10) 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 1648122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355574040).

1648122840 is an abundant number, since it is smaller than the sum of its proper divisors (5063025240).

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

1648122840 is a wasteful number, since it uses less digits than its factorization.

1648122840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7231 (or 7217 counting only the distinct ones).

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

The square root of 1648122840 is about 40597.0792052827. The cubic root of 1648122840 is about 1181.2174641244.

The spelling of 1648122840 in words is "one billion, six hundred forty-eight million, one hundred twenty-two thousand, eight hundred forty".