58493520 has 120 divisors (see below), whose sum is σ = 198208296. Its totient is φ = 15458304.

The previous prime is 58493473. The next prime is 58493557. The reversal of 58493520 is 2539485.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 48608784 = 3144^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98344 + ... + 98936.

Almost surely, 2^58493520 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 58493520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99104148).

58493520 is an abundant number, since it is smaller than the sum of its proper divisors (139714776).

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

58493520 is a wasteful number, since it uses less digits than its factorization.

58493520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 58493520 is about 7648.1056478059. The cubic root of 58493520 is about 388.1824698831.

The spelling of 58493520 in words is "fifty-eight million, four hundred ninety-three thousand, five hundred twenty".