58624416 has 144 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 18547200.

The previous prime is 58624411. The next prime is 58624421. The reversal of 58624416 is 61442685.

58624416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58624411) and next prime (58624421).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58624411) 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 23 ways as a sum of consecutive naturals, for example, 825661 + ... + 825731.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^58624416 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 58624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

58624416 is an abundant number, since it is smaller than the sum of its proper divisors (116864352).

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

58624416 is a wasteful number, since it uses less digits than its factorization.

58624416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 58624416 is about 7656.6582789099. The cubic root of 58624416 is about 388.4718106388.

The spelling of 58624416 in words is "fifty-eight million, six hundred twenty-four thousand, four hundred sixteen".