42608640 has 192 divisors, whose sum is σ = 145454400. Its totient is φ = 10616832.

The previous prime is 42608617. The next prime is 42608641. The reversal of 42608640 is 4680624.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 42608598 and 42608607.

It is not an unprimeable number, because it can be changed into a prime (42608641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583644 + ... + 583716.

It is an arithmetic number, because the mean of its divisors is an integer number (757575).

Almost surely, 2^42608640 is an apocalyptic number.

42608640 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 42608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72727200).

42608640 is an abundant number, since it is smaller than the sum of its proper divisors (102845760).

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

42608640 is a wasteful number, since it uses less digits than its factorization.

42608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 42608640 is about 6527.5293948017. The cubic root of 42608640 is about 349.2737047704.

The spelling of 42608640 in words is "forty-two million, six hundred eight thousand, six hundred forty".