58016400 has 120 divisors (see below), whose sum is σ = 200195520. Its totient is φ = 14277120.

The previous prime is 58016381. The next prime is 58016401. The reversal of 58016400 is 461085.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (58016401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13741 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (1668296).

Almost surely, 2^58016400 is an apocalyptic number.

58016400 is a gapful number since it is divisible by the number (50) 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 58016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100097760).

58016400 is an abundant number, since it is smaller than the sum of its proper divisors (142179120).

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

58016400 is a wasteful number, since it uses less digits than its factorization.

58016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58016400 is about 7616.8497425117. The cubic root of 58016400 is about 387.1241447492.

Adding to 58016400 its reverse (461085), we get a palindrome (58477485).

The spelling of 58016400 in words is "fifty-eight million, sixteen thousand, four hundred".