42827040 has 72 divisors (see below), whose sum is σ = 146152188. Its totient is φ = 11420160.

The previous prime is 42827039. The next prime is 42827041. The reversal of 42827040 is 4072824.

It is an interprime number because it is at equal distance from previous prime (42827039) and next prime (42827041).

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 992016 = 6468^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 42826995 and 42827013.

It is not an unprimeable number, because it can be changed into a prime (42827041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13431 + ... + 16310.

Almost surely, 2^42827040 is an apocalyptic number.

42827040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42827040 is an abundant number, since it is smaller than the sum of its proper divisors (103325148).

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

42827040 is a wasteful number, since it uses less digits than its factorization.

42827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29762 (or 29751 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42827040 is about 6544.2371595168. The cubic root of 42827040 is about 349.8694479080.

Adding to 42827040 its reverse (4072824), we get a palindrome (46899864).

The spelling of 42827040 in words is "forty-two million, eight hundred twenty-seven thousand, forty".