197082720 has 288 divisors, whose sum is σ = 721532448. Its totient is φ = 50761728.

The previous prime is 197082719. The next prime is 197082727. The reversal of 197082720 is 27280791.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197082727) 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 47 ways as a sum of consecutive naturals, for example, 1438492 + ... + 1438628.

It is an arithmetic number, because the mean of its divisors is an integer number (2505321).

Almost surely, 2^197082720 is an apocalyptic number.

197082720 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 197082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360766224).

197082720 is an abundant number, since it is smaller than the sum of its proper divisors (524449728).

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

197082720 is a wasteful number, since it uses less digits than its factorization.

197082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 197082720 is about 14038.6153163337. The cubic root of 197082720 is about 581.9462167326.

The spelling of 197082720 in words is "one hundred ninety-seven million, eighty-two thousand, seven hundred twenty".