58264080 has 160 divisors (see below), whose sum is σ = 209510400. Its totient is φ = 13118976.

The previous prime is 58264079. The next prime is 58264099. The reversal of 58264080 is 8046285.

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, 132501 + ... + 132939.

It is an arithmetic number, because the mean of its divisors is an integer number (1309440).

Almost surely, 2^58264080 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 58264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755200).

58264080 is an abundant number, since it is smaller than the sum of its proper divisors (151246320).

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

58264080 is a wasteful number, since it uses less digits than its factorization.

58264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 58264080 is about 7633.0911169722. The cubic root of 58264080 is about 387.6742580798.

The spelling of 58264080 in words is "fifty-eight million, two hundred sixty-four thousand, eighty".