1973820960 has 144 divisors (see below), whose sum is σ = 6985270656. Its totient is φ = 526341888.

The previous prime is 1973820943. The next prime is 1973820967. The reversal of 1973820960 is 690283791.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1973820967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13497 + ... + 64263.

It is an arithmetic number, because the mean of its divisors is an integer number (48508824).

Almost surely, 2^1973820960 is an apocalyptic number.

1973820960 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 1973820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492635328).

1973820960 is an abundant number, since it is smaller than the sum of its proper divisors (5011449696).

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

1973820960 is an equidigital number, since it uses as much as digits as its factorization.

1973820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50797 (or 50777 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1973820960 is about 44427.7048698219. The cubic root of 1973820960 is about 1254.3996345380.

The spelling of 1973820960 in words is "one billion, nine hundred seventy-three million, eight hundred twenty thousand, nine hundred sixty".