1944520160 has 96 divisors (see below), whose sum is σ = 5021678592. Its totient is φ = 705671680.

The previous prime is 1944520117. The next prime is 1944520177. The reversal of 1944520160 is 610254491.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306937 + ... + 1308423.

It is an arithmetic number, because the mean of its divisors is an integer number (52309152).

Almost surely, 2^1944520160 is an apocalyptic number.

1944520160 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 1944520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510839296).

1944520160 is an abundant number, since it is smaller than the sum of its proper divisors (3077158432).

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

1944520160 is a wasteful number, since it uses less digits than its factorization.

1944520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1944520160 is about 44096.7137097539. The cubic root of 1944520160 is about 1248.1615983490.

The spelling of 1944520160 in words is "one billion, nine hundred forty-four million, five hundred twenty thousand, one hundred sixty".