42200160 has 48 divisors (see below), whose sum is σ = 132932016. Its totient is φ = 11253248.

The previous prime is 42200153. The next prime is 42200161. The reversal of 42200160 is 6100224.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200161) 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 7 ways as a sum of consecutive naturals, for example, 43479 + ... + 44438.

It is an arithmetic number, because the mean of its divisors is an integer number (2769417).

Almost surely, 2^42200160 is an apocalyptic number.

42200160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42200160 is an abundant number, since it is smaller than the sum of its proper divisors (90731856).

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

42200160 is a wasteful number, since it uses less digits than its factorization.

42200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87935 (or 87927 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42200160 is about 6496.1650225344. The cubic root of 42200160 is about 348.1539812692.

Adding to 42200160 its reverse (6100224), we get a palindrome (48300384).

The spelling of 42200160 in words is "forty-two million, two hundred thousand, one hundred sixty".