192973680 has 240 divisors, whose sum is σ = 694526976. Its totient is φ = 47900160.

The previous prime is 192973673. The next prime is 192973687. The reversal of 192973680 is 86379291.

It is an interprime number because it is at equal distance from previous prime (192973673) and next prime (192973687).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192973687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711945 + ... + 712215.

Almost surely, 2^192973680 is an apocalyptic number.

192973680 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 192973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347263488).

192973680 is an abundant number, since it is smaller than the sum of its proper divisors (501553296).

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

192973680 is a wasteful number, since it uses less digits than its factorization.

192973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

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

The square root of 192973680 is about 13891.4966796238. The cubic root of 192973680 is about 577.8733853400.

The spelling of 192973680 in words is "one hundred ninety-two million, nine hundred seventy-three thousand, six hundred eighty".