1534915648 has 112 divisors (see below), whose sum is σ = 3641344000. Its totient is φ = 628093440.

The previous prime is 1534915643. The next prime is 1534915651. The reversal of 1534915648 is 8465194351.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1534915648³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1534915598 and 1534915607.

It is not an unprimeable number, because it can be changed into a prime (1534915643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096453 + ... + 1097851.

It is an arithmetic number, because the mean of its divisors is an integer number (32512000).

Almost surely, 2^1534915648 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 1534915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820672000).

1534915648 is an abundant number, since it is smaller than the sum of its proper divisors (2106428352).

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

1534915648 is a wasteful number, since it uses less digits than its factorization.

1534915648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 1534915648 is about 39177.9995405585. Note that the first 3 decimals coincide. The cubic root of 1534915648 is about 1153.5280808348.

The spelling of 1534915648 in words is "one billion, five hundred thirty-four million, nine hundred fifteen thousand, six hundred forty-eight".