60013800 has 288 divisors, whose sum is σ = 251858880. Its totient is φ = 12441600.

The previous prime is 60013729. The next prime is 60013841. The reversal of 60013800 is 831006.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138384 + ... + 138816.

It is an arithmetic number, because the mean of its divisors is an integer number (874510).

Almost surely, 2^60013800 is an apocalyptic number.

60013800 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 60013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

60013800 is an abundant number, since it is smaller than the sum of its proper divisors (191845080).

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

60013800 is a wasteful number, since it uses less digits than its factorization.

60013800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 60013800 is about 7746.8574273701. The cubic root of 60013800 is about 391.5167758014.

Adding to 60013800 its reverse (831006), we get a palindrome (60844806).

It can be divided in two parts, 6001 and 3800, that added together give a square (9801 = 99²).

The spelling of 60013800 in words is "sixty million, thirteen thousand, eight hundred".