42921360 has 160 divisors (see below), whose sum is σ = 152847360. Its totient is φ = 11059200.

The previous prime is 42921343. The next prime is 42921367. The reversal of 42921360 is 6312924.

42921360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42921367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66640 + ... + 67280.

It is an arithmetic number, because the mean of its divisors is an integer number (955296).

Almost surely, 2^42921360 is an apocalyptic number.

42921360 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 42921360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76423680).

42921360 is an abundant number, since it is smaller than the sum of its proper divisors (109926000).

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

42921360 is a wasteful number, since it uses less digits than its factorization.

42921360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42921360 is about 6551.4395364683. The cubic root of 42921360 is about 350.1261042193.

The spelling of 42921360 in words is "forty-two million, nine hundred twenty-one thousand, three hundred sixty".