42611688 has 96 divisors (see below), whose sum is σ = 134222400. Its totient is φ = 11960064.

The previous prime is 42611641. The next prime is 42611693. The reversal of 42611688 is 88611624.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29020 + ... + 30452.

It is an arithmetic number, because the mean of its divisors is an integer number (1398150).

Almost surely, 2^42611688 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 42611688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67111200).

42611688 is an abundant number, since it is smaller than the sum of its proper divisors (91610712).

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

42611688 is a wasteful number, since it uses less digits than its factorization.

42611688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1504 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 42611688 is about 6527.7628633399. The cubic root of 42611688 is about 349.2820329786.

The spelling of 42611688 in words is "forty-two million, six hundred eleven thousand, six hundred eighty-eight".