42611670 has 80 divisors (see below), whose sum is σ = 118343808. Its totient is φ = 10990080.

The previous prime is 42611641. The next prime is 42611693. The reversal of 42611670 is 7611624.

42611670 is a `hidden beast` number, since 42 + 611 + 6 + 7 + 0 = 666.

42611670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42611670³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24262 + ... + 25958.

Almost surely, 2^42611670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42611670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59171904).

42611670 is an abundant number, since it is smaller than the sum of its proper divisors (75732138).

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

42611670 is a wasteful number, since it uses less digits than its factorization.

42611670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42611670 is about 6527.7614846132. The cubic root of 42611670 is about 349.2819837974.

The spelling of 42611670 in words is "forty-two million, six hundred eleven thousand, six hundred seventy".