1973640960 has 432 divisors, whose sum is σ = 7346626560. Its totient is φ = 487710720.

The previous prime is 1973640953. The next prime is 1973640997. The reversal of 1973640960 is 690463791.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15540417 + ... + 15540543.

It is an arithmetic number, because the mean of its divisors is an integer number (17006080).

Almost surely, 2^1973640960 is an apocalyptic number.

1973640960 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 1973640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673313280).

1973640960 is an abundant number, since it is smaller than the sum of its proper divisors (5372985600).

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

1973640960 is a wasteful number, since it uses less digits than its factorization.

1973640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1973640960 is about 44425.6790606514. The cubic root of 1973640960 is about 1254.3615022719.

The spelling of 1973640960 in words is "one billion, nine hundred seventy-three million, six hundred forty thousand, nine hundred sixty".