42609600 has 252 divisors, whose sum is σ = 165826440. Its totient is φ = 10291200.

The previous prime is 42609587. The next prime is 42609631. The reversal of 42609600 is 690624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158266 + ... + 158534.

Almost surely, 2^42609600 is an apocalyptic number.

42609600 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 42609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82913220).

42609600 is an abundant number, since it is smaller than the sum of its proper divisors (123216840).

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

42609600 is a wasteful number, since it uses less digits than its factorization.

42609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42609600 is about 6527.6029291004. The cubic root of 42609600 is about 349.2763278709.

The spelling of 42609600 in words is "forty-two million, six hundred nine thousand, six hundred".