58534080 has 224 divisors, whose sum is σ = 212433408. Its totient is φ = 13516800.

The previous prime is 58534061. The next prime is 58534109. The reversal of 58534080 is 8043585.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242760 + ... + 243000.

Almost surely, 2^58534080 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 58534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106216704).

58534080 is an abundant number, since it is smaller than the sum of its proper divisors (153899328).

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

58534080 is a wasteful number, since it uses less digits than its factorization.

58534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 58534080 is about 7650.7568253082. The cubic root of 58534080 is about 388.2721723733.

The spelling of 58534080 in words is "fifty-eight million, five hundred thirty-four thousand, eighty".