42608000 has 64 divisors (see below), whose sum is σ = 105973920. Its totient is φ = 17036800.

The previous prime is 42607987. The next prime is 42608009. The reversal of 42608000 is 80624.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42608009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14669 + ... + 17331.

Almost surely, 2^42608000 is an apocalyptic number.

42608000 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 42608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52986960).

42608000 is an abundant number, since it is smaller than the sum of its proper divisors (63365920).

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

42608000 is an equidigital number, since it uses as much as digits as its factorization.

42608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42608000 is about 6527.4803714757. The cubic root of 42608000 is about 349.2719560148.

Adding to 42608000 its reverse (80624), we get a palindrome (42688624).

The spelling of 42608000 in words is "forty-two million, six hundred eight thousand".