42167520 has 192 divisors, whose sum is σ = 151683840. Its totient is φ = 10934784.

The previous prime is 42167473. The next prime is 42167561. The reversal of 42167520 is 2576124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 185647 + ... + 185873.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 2^42167520 is an apocalyptic number.

42167520 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 42167520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

42167520 is an abundant number, since it is smaller than the sum of its proper divisors (109516320).

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

42167520 is a wasteful number, since it uses less digits than its factorization.

42167520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42167520 is about 6493.6522851166. The cubic root of 42167520 is about 348.0641974311.

The spelling of 42167520 in words is "forty-two million, one hundred sixty-seven thousand, five hundred twenty".