42885360 has 240 divisors, whose sum is σ = 168370176. Its totient is φ = 9580032.

The previous prime is 42885343. The next prime is 42885449. The reversal of 42885360 is 6358824.

42885360 is a `hidden beast` number, since 42 + 88 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 337617 + ... + 337743.

Almost surely, 2^42885360 is an apocalyptic number.

42885360 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 42885360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84185088).

42885360 is an abundant number, since it is smaller than the sum of its proper divisors (125484816).

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

42885360 is a wasteful number, since it uses less digits than its factorization.

42885360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42885360 is about 6548.6914723477. The cubic root of 42885360 is about 350.0281882059.

The spelling of 42885360 in words is "forty-two million, eight hundred eighty-five thousand, three hundred sixty".