42132688 has 40 divisors (see below), whose sum is σ = 91744128. Its totient is φ = 18598272.

The previous prime is 42132683. The next prime is 42132697. The reversal of 42132688 is 88623124.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381 + ... + 9187.

Almost surely, 2^42132688 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 42132688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45872064).

42132688 is an abundant number, since it is smaller than the sum of its proper divisors (49611440).

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

42132688 is a wasteful number, since it uses less digits than its factorization.

42132688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851 (or 8845 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 42132688 is about 6490.9697272442. The cubic root of 42132688 is about 347.9683328740.

The spelling of 42132688 in words is "forty-two million, one hundred thirty-two thousand, six hundred eighty-eight".