60438320 has 80 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 23030784.

The previous prime is 60438317. The next prime is 60438331. The reversal of 60438320 is 2383406.

60438320 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 self number, because there is not a number n which added to its sum of digits gives 60438320.

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, 252761 + ... + 252999.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^60438320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

60438320 is an abundant number, since it is smaller than the sum of its proper divisors (86873680).

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

60438320 is a wasteful number, since it uses less digits than its factorization.

60438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 60438320 is about 7774.2086413988. The cubic root of 60438320 is about 392.4377658370.

The spelling of 60438320 in words is "sixty million, four hundred thirty-eight thousand, three hundred twenty".