1521091968 has 192 divisors, whose sum is σ = 4677556800. Its totient is φ = 436423680.

The previous prime is 1521091937. The next prime is 1521092009. The reversal of 1521091968 is 8691901251.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1521091968² = 4627441550228226048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881955 + ... + 883677.

It is an arithmetic number, because the mean of its divisors is an integer number (24362275).

Almost surely, 2^1521091968 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 1521091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338778400).

1521091968 is an abundant number, since it is smaller than the sum of its proper divisors (3156464832).

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

1521091968 is a wasteful number, since it uses less digits than its factorization.

1521091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The square root of 1521091968 is about 39001.1790591003. The cubic root of 1521091968 is about 1150.0546837261.

The spelling of 1521091968 in words is "one billion, five hundred twenty-one million, ninety-one thousand, nine hundred sixty-eight".