1534819968 has 256 divisors, whose sum is σ = 5052672000. Its totient is φ = 454671360.

The previous prime is 1534819967. The next prime is 1534819997. The reversal of 1534819968 is 8699184351.

1534819968 is a `hidden beast` number, since 1 + 534 + 8 + 19 + 96 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1534819961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1786323 + ... + 1787181.

It is an arithmetic number, because the mean of its divisors is an integer number (19737000).

Almost surely, 2^1534819968 is an apocalyptic number.

1534819968 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 1534819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526336000).

1534819968 is an abundant number, since it is smaller than the sum of its proper divisors (3517852032).

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

1534819968 is a wasteful number, since it uses less digits than its factorization.

1534819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 922 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1534819968 is about 39176.7784280433. The cubic root of 1534819968 is about 1153.5041116870.

The spelling of 1534819968 in words is "one billion, five hundred thirty-four million, eight hundred nineteen thousand, nine hundred sixty-eight".