58786416 has 120 divisors (see below), whose sum is σ = 183071616. Its totient is φ = 17487360.

The previous prime is 58786411. The next prime is 58786421. The reversal of 58786416 is 61468785.

It is a happy number.

58786416 is a `hidden beast` number, since 587 + 8 + 64 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (58786411) and next prime (58786421).

It is a super-2 number, since 2×58786416² = 6911685412250112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58786411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57526 + ... + 58538.

Almost surely, 2^58786416 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 58786416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91535808).

58786416 is an abundant number, since it is smaller than the sum of its proper divisors (124285200).

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

58786416 is a wasteful number, since it uses less digits than its factorization.

58786416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1062 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 58786416 is about 7667.2300082885. The cubic root of 58786416 is about 388.8293098871.

The spelling of 58786416 in words is "fifty-eight million, seven hundred eighty-six thousand, four hundred sixteen".