42689124 has 72 divisors (see below), whose sum is σ = 114660000. Its totient is φ = 13353984.

The previous prime is 42689123. The next prime is 42689137. The reversal of 42689124 is 42198624.

It is a super-3 number, since 3×42689124³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42689123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 94852 + ... + 95300.

It is an arithmetic number, because the mean of its divisors is an integer number (1592500).

Almost surely, 2^42689124 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 42689124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330000).

42689124 is an abundant number, since it is smaller than the sum of its proper divisors (71970876).

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

42689124 is a wasteful number, since it uses less digits than its factorization.

42689124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42689124 is about 6533.6914527700. The cubic root of 42689124 is about 349.4934822905.

The spelling of 42689124 in words is "forty-two million, six hundred eighty-nine thousand, one hundred twenty-four".