42080064 has 112 divisors (see below), whose sum is σ = 125284992. Its totient is φ = 12367872.

The previous prime is 42080029. The next prime is 42080069. The reversal of 42080064 is 46008024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42080069) 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, 57042 + ... + 57774.

It is an arithmetic number, because the mean of its divisors is an integer number (1118616).

Almost surely, 2^42080064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62642496).

42080064 is an abundant number, since it is smaller than the sum of its proper divisors (83204928).

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

42080064 is a wasteful number, since it uses less digits than its factorization.

42080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42080064 is about 6486.9148291002. The cubic root of 42080064 is about 347.8234009503.

Adding to 42080064 its reverse (46008024), we get a palindrome (88088088).

The spelling of 42080064 in words is "forty-two million, eighty thousand, sixty-four".