42020160 has 336 divisors, whose sum is σ = 169566336. Its totient is φ = 8626176.

The previous prime is 42020131. The next prime is 42020171. The reversal of 42020160 is 6102024.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135662 + ... + 1135698.

Almost surely, 2^42020160 is an apocalyptic number.

42020160 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 42020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84783168).

42020160 is an abundant number, since it is smaller than the sum of its proper divisors (127546176).

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

42020160 is a wasteful number, since it uses less digits than its factorization.

42020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

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

The square root of 42020160 is about 6482.2958895749. The cubic root of 42020160 is about 347.6582720187.

Adding to 42020160 its reverse (6102024), we get a palindrome (48122184).

The spelling of 42020160 in words is "forty-two million, twenty thousand, one hundred sixty".