42067296 has 96 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 13893120.

The previous prime is 42067243. The next prime is 42067297. The reversal of 42067296 is 69276024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×42067296³ (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42067296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42067297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156250 + ... + 156518.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^42067296 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 42067296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

42067296 is an abundant number, since it is smaller than the sum of its proper divisors (81765504).

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

42067296 is a wasteful number, since it uses less digits than its factorization.

42067296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42067296 is about 6485.9306194254. The cubic root of 42067296 is about 347.7882183483.

The spelling of 42067296 in words is "forty-two million, sixty-seven thousand, two hundred ninety-six".