42638000 has 40 divisors (see below), whose sum is σ = 103103520. Its totient is φ = 17054400.

The previous prime is 42637997. The next prime is 42638009. The reversal of 42638000 is 83624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42638009) 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 7 ways as a sum of consecutive naturals, for example, 8660 + ... + 12659.

It is an arithmetic number, because the mean of its divisors is an integer number (2577588).

Almost surely, 2^42638000 is an apocalyptic number.

42638000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42638000 is an abundant number, since it is smaller than the sum of its proper divisors (60465520).

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

42638000 is a wasteful number, since it uses less digits than its factorization.

42638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342 (or 21326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42638000 is about 6529.7779441571. Note that the first 3 decimals coincide. The cubic root of 42638000 is about 349.3539101114.

The spelling of 42638000 in words is "forty-two million, six hundred thirty-eight thousand".