1565379648 has 224 divisors, whose sum is σ = 5305958400. Its totient is φ = 443294208.

The previous prime is 1565379593. The next prime is 1565379659. The reversal of 1565379648 is 8469735651.

1565379648 is a `hidden beast` number, since 1 + 565 + 3 + 79 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1565379594 and 1565379603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535683 + ... + 1536701.

Almost surely, 2^1565379648 is an apocalyptic number.

1565379648 is a gapful number since it is divisible by the number (18) 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 1565379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652979200).

1565379648 is an abundant number, since it is smaller than the sum of its proper divisors (3740578752).

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

1565379648 is a wasteful number, since it uses less digits than its factorization.

1565379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1158 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 1565379648 is about 39564.8789711279. The cubic root of 1565379648 is about 1161.1096318296.

The spelling of 1565379648 in words is "one billion, five hundred sixty-five million, three hundred seventy-nine thousand, six hundred forty-eight".