42906336 has 96 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 12672000.

The previous prime is 42906329. The next prime is 42906349. The reversal of 42906336 is 63360924.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42906297 and 42906306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42801 + ... + 43791.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^42906336 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 42906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

42906336 is an abundant number, since it is smaller than the sum of its proper divisors (83085600).

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

42906336 is a wasteful number, since it uses less digits than its factorization.

42906336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 42906336 is about 6550.2928178823. The cubic root of 42906336 is about 350.0852472624.

The spelling of 42906336 in words is "forty-two million, nine hundred six thousand, three hundred thirty-six".