42684096 has 168 divisors, whose sum is σ = 141884400. Its totient is φ = 11225088.

The previous prime is 42684091. The next prime is 42684137. The reversal of 42684096 is 69048624.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×42684096³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42684091) 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 23 ways as a sum of consecutive naturals, for example, 122130 + ... + 122478.

It is an arithmetic number, because the mean of its divisors is an integer number (844550).

Almost surely, 2^42684096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70942200).

42684096 is an abundant number, since it is smaller than the sum of its proper divisors (99200304).

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

42684096 is a wasteful number, since it uses less digits than its factorization.

42684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 42684096 is about 6533.3066666122. The cubic root of 42684096 is about 349.4797604330.

The spelling of 42684096 in words is "forty-two million, six hundred eighty-four thousand, ninety-six".