42009690 has 64 divisors (see below), whose sum is σ = 105494400. Its totient is φ = 10692864.

The previous prime is 42009677. The next prime is 42009697. The reversal of 42009690 is 9690024.

It is a super-2 number, since 2×42009690² = 3529628107792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42009697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94609 + ... + 95051.

It is an arithmetic number, because the mean of its divisors is an integer number (1648350).

Almost surely, 2^42009690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42009690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52747200).

42009690 is an abundant number, since it is smaller than the sum of its proper divisors (63484710).

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

42009690 is a wasteful number, since it uses less digits than its factorization.

42009690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 42009690 is about 6481.4882550229. The cubic root of 42009690 is about 347.6293947332.

The spelling of 42009690 in words is "forty-two million, nine thousand, six hundred ninety".