60013440 has 256 divisors, whose sum is σ = 223257600. Its totient is φ = 15206400.

The previous prime is 60013409. The next prime is 60013477. The reversal of 60013440 is 4431006.

60013440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×60013440² = 7203225961267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 397365 + ... + 397515.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^60013440 is an apocalyptic number.

60013440 is a gapful number since it is divisible by the number (60) 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 60013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

60013440 is an abundant number, since it is smaller than the sum of its proper divisors (163244160).

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

60013440 is a wasteful number, since it uses less digits than its factorization.

60013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60013440 is about 7746.8341921071. The cubic root of 60013440 is about 391.5159929463.

Adding to 60013440 its reverse (4431006), we get a palindrome (64444446).

The spelling of 60013440 in words is "sixty million, thirteen thousand, four hundred forty".