42605640 has 384 divisors, whose sum is σ = 181958400. Its totient is φ = 8386560.

The previous prime is 42605639. The next prime is 42605659. The reversal of 42605640 is 4650624.

It is a happy number.

42605640 is a `hidden beast` number, since 42 + 60 + 564 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803854 + ... + 803906.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 2^42605640 is an apocalyptic number.

42605640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90979200).

42605640 is an abundant number, since it is smaller than the sum of its proper divisors (139352760).

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

42605640 is a wasteful number, since it uses less digits than its factorization.

42605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42605640 is about 6527.2995947788. The cubic root of 42605640 is about 349.2655073273.

The spelling of 42605640 in words is "forty-two million, six hundred five thousand, six hundred forty".