42007056 has 160 divisors (see below), whose sum is σ = 136657920. Its totient is φ = 10824192.

The previous prime is 42007037. The next prime is 42007067. The reversal of 42007056 is 65070024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257631 + ... + 257793.

It is an arithmetic number, because the mean of its divisors is an integer number (854112).

Almost surely, 2^42007056 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 42007056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68328960).

42007056 is an abundant number, since it is smaller than the sum of its proper divisors (94650864).

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

42007056 is a wasteful number, since it uses less digits than its factorization.

42007056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 42007056 is about 6481.2850577644. The cubic root of 42007056 is about 347.6221291479.

The spelling of 42007056 in words is "forty-two million, seven thousand, fifty-six".