42629184 has 84 divisors (see below), whose sum is σ = 131611116. Its totient is φ = 13114368.

The previous prime is 42629173. The next prime is 42629221. The reversal of 42629184 is 48192624.

It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 36869184 = 2400^2 + 6072^2 .

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 11 ways as a sum of consecutive naturals, for example, 4642 + ... + 10334.

It is an arithmetic number, because the mean of its divisors is an integer number (1566799).

Almost surely, 2^42629184 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 42629184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65805558).

42629184 is an abundant number, since it is smaller than the sum of its proper divisors (88981932).

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

42629184 is a wasteful number, since it uses less digits than its factorization.

42629184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5711 counting only the distinct ones).

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

The square root of 42629184 is about 6529.1028480182. The cubic root of 42629184 is about 349.3298305238.

The spelling of 42629184 in words is "forty-two million, six hundred twenty-nine thousand, one hundred eighty-four".