1508328960 has 160 divisors (see below), whose sum is σ = 5032177920. Its totient is φ = 384688128.

The previous prime is 1508328953. The next prime is 1508329007. The reversal of 1508328960 is 698238051.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172371 + ... + 180909.

It is an arithmetic number, because the mean of its divisors is an integer number (31451112).

Almost surely, 2^1508328960 is an apocalyptic number.

1508328960 is a gapful number since it is divisible by the number (10) 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 1508328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516088960).

1508328960 is an abundant number, since it is smaller than the sum of its proper divisors (3523848960).

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

1508328960 is an equidigital number, since it uses as much as digits as its factorization.

1508328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1508328960 is about 38837.2110224202. The cubic root of 1508328960 is about 1146.8290617905.

The spelling of 1508328960 in words is "one billion, five hundred eight million, three hundred twenty-eight thousand, nine hundred sixty".