1973201832 has 576 divisors, whose sum is σ = 7356211200. Its totient is φ = 465315840.

The previous prime is 1973201827. The next prime is 1973201833. The reversal of 1973201832 is 2381023791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1973201833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63651657 + ... + 63651687.

It is an arithmetic number, because the mean of its divisors is an integer number (12771200).

Almost surely, 2^1973201832 is an apocalyptic number.

1973201832 is a gapful number since it is divisible by the number (12) 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 1973201832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678105600).

1973201832 is an abundant number, since it is smaller than the sum of its proper divisors (5383009368).

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

1973201832 is a wasteful number, since it uses less digits than its factorization.

1973201832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1973201832 is about 44420.7365089774. The cubic root of 1973201832 is about 1254.2684650671.

The spelling of 1973201832 in words is "one billion, nine hundred seventy-three million, two hundred one thousand, eight hundred thirty-two".