58412864 has 56 divisors (see below), whose sum is σ = 120399048. Its totient is φ = 28098560.

The previous prime is 58412819. The next prime is 58412911. The reversal of 58412864 is 46821485.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 57760000 = 808^2 + 7600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296414 + ... + 296610.

It is an arithmetic number, because the mean of its divisors is an integer number (2149983).

Almost surely, 2^58412864 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 58412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60199524).

58412864 is an abundant number, since it is smaller than the sum of its proper divisors (61986184).

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

58412864 is a wasteful number, since it uses less digits than its factorization.

58412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 58412864 is about 7642.8308891405. The cubic root of 58412864 is about 388.0039677916.

The spelling of 58412864 in words is "fifty-eight million, four hundred twelve thousand, eight hundred sixty-four".