42765360 has 160 divisors (see below), whose sum is σ = 146990592. Its totient is φ = 10199040.

The previous prime is 42765341. The next prime is 42765361. The reversal of 42765360 is 6356724.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255997 + ... + 256163.

Almost surely, 2^42765360 is an apocalyptic number.

42765360 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 42765360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495296).

42765360 is an abundant number, since it is smaller than the sum of its proper divisors (104225232).

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

42765360 is a wasteful number, since it uses less digits than its factorization.

42765360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 42765360 is about 6539.5229183787. The cubic root of 42765360 is about 349.7014051968.

The spelling of 42765360 in words is "forty-two million, seven hundred sixty-five thousand, three hundred sixty".