42739360 has 96 divisors (see below), whose sum is σ = 112674240. Its totient is φ = 15224832.

The previous prime is 42739339. The next prime is 42739363. The reversal of 42739360 is 6393724.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (42739363) 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, 51267 + ... + 52093.

It is an arithmetic number, because the mean of its divisors is an integer number (1173690).

Almost surely, 2^42739360 is an apocalyptic number.

42739360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42739360 is the 4135-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42739360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56337120).

42739360 is an abundant number, since it is smaller than the sum of its proper divisors (69934880).

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

42739360 is a wasteful number, since it uses less digits than its factorization.

42739360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 42739360 is about 6537.5347035408. The cubic root of 42739360 is about 349.6305216612.

The spelling of 42739360 in words is "forty-two million, seven hundred thirty-nine thousand, three hundred sixty".