42661116 has 36 divisors (see below), whose sum is σ = 108802512. Its totient is φ = 14093184.

The previous prime is 42661103. The next prime is 42661133. The reversal of 42661116 is 61116624.

42661116 is a `hidden beast` number, since 42 + 6 + 611 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42661116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1176 + ... + 9311.

It is an arithmetic number, because the mean of its divisors is an integer number (3022292).

Almost surely, 2^42661116 is an apocalyptic number.

It is an amenable number.

42661116 is an abundant number, since it is smaller than the sum of its proper divisors (66141396).

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

42661116 is a wasteful number, since it uses less digits than its factorization.

42661116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610 (or 10605 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 42661116 is about 6531.5477491939. The cubic root of 42661116 is about 349.4170322562.

The spelling of 42661116 in words is "forty-two million, six hundred sixty-one thousand, one hundred sixteen".