1973658960 has 400 divisors, whose sum is σ = 8439209856. Its totient is φ = 416295936.

The previous prime is 1973658949. The next prime is 1973658961. The reversal of 1973658960 is 698563791.

1973658960 is a `hidden beast` number, since 197 + 365 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1973658897 and 1973658906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973658961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 588007 + ... + 591353.

Almost surely, 2^1973658960 is an apocalyptic number.

1973658960 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 1973658960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219604928).

1973658960 is an abundant number, since it is smaller than the sum of its proper divisors (6465550896).

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

1973658960 is a wasteful number, since it uses less digits than its factorization.

1973658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1973658960 is about 44425.8816457254. The cubic root of 1973658960 is about 1254.3653156029.

The spelling of 1973658960 in words is "one billion, nine hundred seventy-three million, six hundred fifty-eight thousand, nine hundred sixty".