42633360 has 240 divisors, whose sum is σ = 178738560. Its totient is φ = 8847360.

The previous prime is 42633323. The next prime is 42633379. The reversal of 42633360 is 6333624.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55056 + ... + 55824.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 2^42633360 is an apocalyptic number.

42633360 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 42633360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

42633360 is an abundant number, since it is smaller than the sum of its proper divisors (136105200).

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

42633360 is a wasteful number, since it uses less digits than its factorization.

42633360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 42633360 is about 6529.4226391006. The cubic root of 42633360 is about 349.3412370581.

Adding to 42633360 its reverse (6333624), we get a palindrome (48966984).

The spelling of 42633360 in words is "forty-two million, six hundred thirty-three thousand, three hundred sixty".