1648353920 has 64 divisors (see below), whose sum is σ = 4024512000. Its totient is φ = 645301248.

The previous prime is 1648353919. The next prime is 1648353923. The reversal of 1648353920 is 293538461.

1648353920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1648353923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2681 + ... + 57479.

It is an arithmetic number, because the mean of its divisors is an integer number (62883000).

Almost surely, 2^1648353920 is an apocalyptic number.

1648353920 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 1648353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012256000).

1648353920 is an abundant number, since it is smaller than the sum of its proper divisors (2376158080).

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

1648353920 is an equidigital number, since it uses as much as digits as its factorization.

1648353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54865 (or 54853 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 1648353920 is about 40599.9251230837. The cubic root of 1648353920 is about 1181.2726669222.

The spelling of 1648353920 in words is "one billion, six hundred forty-eight million, three hundred fifty-three thousand, nine hundred twenty".