1872168480 has 648 divisors, whose sum is σ = 8098753572. Its totient is φ = 392491008.

The previous prime is 1872168409. The next prime is 1872168491. The reversal of 1872168480 is 848612781.

1872168480 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 168 + 480 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 86936976 + 1785231504 = 9324^2 + 42252^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11924562 + ... + 11924718.

Almost surely, 2^1872168480 is an apocalyptic number.

1872168480 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 1872168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049376786).

1872168480 is an abundant number, since it is smaller than the sum of its proper divisors (6226585092).

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

1872168480 is a wasteful number, since it uses less digits than its factorization.

1872168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1872168480 is about 43268.5622594511. The cubic root of 1872168480 is about 1232.4850018815.

The spelling of 1872168480 in words is "one billion, eight hundred seventy-two million, one hundred sixty-eight thousand, four hundred eighty".