42197760 has 360 divisors, whose sum is σ = 169169616. Its totient is φ = 9953280.

The previous prime is 42197737. The next prime is 42197767. The reversal of 42197760 is 6779124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (42197767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140462 + ... + 1140498.

Almost surely, 2^42197760 is an apocalyptic number.

42197760 is a gapful number since it is divisible by the number (40) 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 42197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84584808).

42197760 is an abundant number, since it is smaller than the sum of its proper divisors (126971856).

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

42197760 is a wasteful number, since it uses less digits than its factorization.

42197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 42197760 is about 6495.9802955366. The cubic root of 42197760 is about 348.1473810936.

The spelling of 42197760 in words is "forty-two million, one hundred ninety-seven thousand, seven hundred sixty".