42645360 has 80 divisors (see below), whose sum is σ = 133268256. Its totient is φ = 11280384.

The previous prime is 42645353. The next prime is 42645389. The reversal of 42645360 is 6354624.

42645360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32232 + ... + 33528.

Almost surely, 2^42645360 is an apocalyptic number.

42645360 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 42645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66634128).

42645360 is an abundant number, since it is smaller than the sum of its proper divisors (90622896).

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

42645360 is a wasteful number, since it uses less digits than its factorization.

42645360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 42645360 is about 6530.3414918364. The cubic root of 42645360 is about 349.3740103104.

Adding to 42645360 its reverse (6354624), we get a palindrome (48999984).

The spelling of 42645360 in words is "forty-two million, six hundred forty-five thousand, three hundred sixty".