1521889920 has 288 divisors, whose sum is σ = 5429134620. Its totient is φ = 392822784.

The previous prime is 1521889903. The next prime is 1521889933. The reversal of 1521889920 is 299881251.

It can be written as a sum of positive squares in 6 ways, for example, as 1124126784 + 397763136 = 33528^2 + 19944^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1521889920² = 4632297857195212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 7885344 + ... + 7885536.

Almost surely, 2^1521889920 is an apocalyptic number.

1521889920 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 1521889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714567310).

1521889920 is an abundant number, since it is smaller than the sum of its proper divisors (3907244700).

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

1521889920 is a wasteful number, since it uses less digits than its factorization.

1521889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1521889920 is about 39011.4075624041. The cubic root of 1521889920 is about 1150.2557515621.

The spelling of 1521889920 in words is "one billion, five hundred twenty-one million, eight hundred eighty-nine thousand, nine hundred twenty".