1578315648 has 384 divisors, whose sum is σ = 5445135360. Its totient is φ = 394260480.

The previous prime is 1578315619. The next prime is 1578315707. The reversal of 1578315648 is 8465138751.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1578315648³ (a number of 29 digits) contains 333 as substring.

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 = 1578315597 and 1578315606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33581161 + ... + 33581207.

It is an arithmetic number, because the mean of its divisors is an integer number (14180040).

Almost surely, 2^1578315648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1578315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722567680).

1578315648 is an abundant number, since it is smaller than the sum of its proper divisors (3866819712).

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

1578315648 is a wasteful number, since it uses less digits than its factorization.

1578315648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 103 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 1578315648 is about 39728.0209424029. The cubic root of 1578315648 is about 1164.2992582076.

The spelling of 1578315648 in words is "one billion, five hundred seventy-eight million, three hundred fifteen thousand, six hundred forty-eight".