1968872160 has 48 divisors (see below), whose sum is σ = 6201948816. Its totient is φ = 525032448.

The previous prime is 1968872141. The next prime is 1968872161. The reversal of 1968872160 is 612788691.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968872161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2050429 + ... + 2051388.

It is an arithmetic number, because the mean of its divisors is an integer number (129207267).

Almost surely, 2^1968872160 is an apocalyptic number.

1968872160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968872160 is an abundant number, since it is smaller than the sum of its proper divisors (4233076656).

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

1968872160 is a wasteful number, since it uses less digits than its factorization.

1968872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101835 (or 4101827 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 1968872160 is about 44371.9749391437. The cubic root of 1968872160 is about 1253.3504059341.

The spelling of 1968872160 in words is "one billion, nine hundred sixty-eight million, eight hundred seventy-two thousand, one hundred sixty".