1520164872 has 96 divisors (see below), whose sum is σ = 4250806560. Its totient is φ = 490464000.

The previous prime is 1520164843. The next prime is 1520164879. The reversal of 1520164872 is 2784610251.

1520164872 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 1 + 648 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1520164879) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 384747 + ... + 388677.

It is an arithmetic number, because the mean of its divisors is an integer number (44279235).

Almost surely, 2^1520164872 is an apocalyptic number.

1520164872 is a gapful number since it is divisible by the number (12) 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 1520164872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125403280).

1520164872 is an abundant number, since it is smaller than the sum of its proper divisors (2730641688).

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

1520164872 is a wasteful number, since it uses less digits than its factorization.

1520164872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1520164872 is about 38989.2917606873. The cubic root of 1520164872 is about 1149.8209858719.

The spelling of 1520164872 in words is "one billion, five hundred twenty million, one hundred sixty-four thousand, eight hundred seventy-two".