1530067968 has 528 divisors, whose sum is σ = 5507838336. Its totient is φ = 418037760.

The previous prime is 1530067951. The next prime is 1530067969. The reversal of 1530067968 is 8697600351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1530067968² = 4682215973399298048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530067969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35582955 + ... + 35582997.

It is an arithmetic number, because the mean of its divisors is an integer number (10431512).

Almost surely, 2^1530067968 is an apocalyptic number.

1530067968 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 1530067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753919168).

1530067968 is an abundant number, since it is smaller than the sum of its proper divisors (3977770368).

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

1530067968 is a wasteful number, since it uses less digits than its factorization.

1530067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1530067968 is about 39116.0832395065. The cubic root of 1530067968 is about 1152.3124152673.

The spelling of 1530067968 in words is "one billion, five hundred thirty million, sixty-seven thousand, nine hundred sixty-eight".