42645690 has 160 divisors (see below), whose sum is σ = 128589120. Its totient is φ = 10077696.

The previous prime is 42645683. The next prime is 42645751. The reversal of 42645690 is 9654624.

42645690 is a `hidden beast` number, since 4 + 2 + 645 + 6 + 9 + 0 = 666.

42645690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42645690² = 3637309751152200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 261549 + ... + 261711.

It is an arithmetic number, because the mean of its divisors is an integer number (803682).

Almost surely, 2^42645690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42645690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64294560).

42645690 is an abundant number, since it is smaller than the sum of its proper divisors (85943430).

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

42645690 is a wasteful number, since it uses less digits than its factorization.

42645690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42645690 is about 6530.3667584600. The cubic root of 42645690 is about 349.3749114879.

The spelling of 42645690 in words is "forty-two million, six hundred forty-five thousand, six hundred ninety".