1520840160 has 432 divisors, whose sum is σ = 6167816928. Its totient is φ = 334264320.

The previous prime is 1520840149. The next prime is 1520840203. The reversal of 1520840160 is 610480251.

1520840160 is a `hidden beast` number, since 1 + 520 + 84 + 0 + 1 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9686802 + ... + 9686958.

It is an arithmetic number, because the mean of its divisors is an integer number (14277354).

Almost surely, 2^1520840160 is an apocalyptic number.

1520840160 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 1520840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083908464).

1520840160 is an abundant number, since it is smaller than the sum of its proper divisors (4646976768).

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

1520840160 is a wasteful number, since it uses less digits than its factorization.

1520840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1520840160 is about 38997.9507153902. The cubic root of 1520840160 is about 1149.9912185845.

The spelling of 1520840160 in words is "one billion, five hundred twenty million, eight hundred forty thousand, one hundred sixty".