42591906 has 120 divisors (see below), whose sum is σ = 115625664. Its totient is φ = 11476080.

The previous prime is 42591893. The next prime is 42591931. The reversal of 42591906 is 60919524.

42591906 is nontrivially palindromic in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 599851 + ... + 599921.

Almost surely, 2^42591906 is an apocalyptic number.

42591906 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42591906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57812832).

42591906 is an abundant number, since it is smaller than the sum of its proper divisors (73033758).

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

42591906 is a wasteful number, since it uses less digits than its factorization.

42591906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 42591906 is about 6526.2474669599. The cubic root of 42591906 is about 349.2279745187.

The spelling of 42591906 in words is "forty-two million, five hundred ninety-one thousand, nine hundred six".