42611664 has 20 divisors (see below), whose sum is σ = 110080256. Its totient is φ = 14203872.

The previous prime is 42611641. The next prime is 42611693. The reversal of 42611664 is 46611624.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443824 + ... + 443919.

Almost surely, 2^42611664 is an apocalyptic number.

It is an amenable number.

42611664 is an abundant number, since it is smaller than the sum of its proper divisors (67468592).

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

42611664 is a wasteful number, since it uses less digits than its factorization.

42611664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887754 (or 887748 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 42611664 is about 6527.7610250376. The cubic root of 42611664 is about 349.2819674037.

It can be divided in two parts, 426 and 11664, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 42611664 in words is "forty-two million, six hundred eleven thousand, six hundred sixty-four".