58012416 has 288 divisors, whose sum is σ = 215846400. Its totient is φ = 14929920.

The previous prime is 58012397. The next prime is 58012421. The reversal of 58012416 is 61421085.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 58012416.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 532170 + ... + 532278.

Almost surely, 2^58012416 is an apocalyptic number.

58012416 is a gapful number since it is divisible by the number (56) 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 58012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107923200).

58012416 is an abundant number, since it is smaller than the sum of its proper divisors (157833984).

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

58012416 is a wasteful number, since it uses less digits than its factorization.

58012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58012416 is about 7616.5882125792. The cubic root of 58012416 is about 387.1152832440.

It can be divided in two parts, 580 and 12416, that added together give a square (12996 = 114²).

The spelling of 58012416 in words is "fifty-eight million, twelve thousand, four hundred sixteen".