1648227840 has 640 divisors, whose sum is σ = 6637289472. Its totient is φ = 340623360.

The previous prime is 1648227773. The next prime is 1648227851. The reversal of 1648227840 is 487228461.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 1648227792 and 1648227801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38330859 + ... + 38330901.

Almost surely, 2^1648227840 is an apocalyptic number.

1648227840 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 1648227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318644736).

1648227840 is an abundant number, since it is smaller than the sum of its proper divisors (4989061632).

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

1648227840 is a wasteful number, since it uses less digits than its factorization.

1648227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1648227840 is about 40598.3723811682. The cubic root of 1648227840 is about 1181.2425482579.

The spelling of 1648227840 in words is "one billion, six hundred forty-eight million, two hundred twenty-seven thousand, eight hundred forty".