1648397520 has 960 divisors, whose sum is σ = 7694507520. Its totient is φ = 316293120.

The previous prime is 1648397483. The next prime is 1648397567. The reversal of 1648397520 is 257938461.

1648397520 is digitally balanced in base 10, because in such base 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 (45).

1648397520 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31101814 + ... + 31101866.

It is an arithmetic number, because the mean of its divisors is an integer number (8015112).

It is a 1-persistent number, because it is pandigital, but 2⋅1648397520 = 3296795040 is not.

Almost surely, 2^1648397520 is an apocalyptic number.

1648397520 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 1648397520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847253760).

1648397520 is an abundant number, since it is smaller than the sum of its proper divisors (6046110000).

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

1648397520 is a wasteful number, since it uses less digits than its factorization.

1648397520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1648397520 is about 40600.4620663361. The cubic root of 1648397520 is about 1181.2830819659.

It can be divided in two parts, 16483 and 97520, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 1648397520 in words is "one billion, six hundred forty-eight million, three hundred ninety-seven thousand, five hundred twenty".