58461564 has 96 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 15902208.

The previous prime is 58461563. The next prime is 58461583. The reversal of 58461564 is 46516485.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58461563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250792 + ... + 251024.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^58461564 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 58461564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

58461564 is an abundant number, since it is smaller than the sum of its proper divisors (105076356).

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

58461564 is a wasteful number, since it uses less digits than its factorization.

58461564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 58461564 is about 7646.0162176129. The cubic root of 58461564 is about 388.1117667883. Note that the first 3 decimals are identical.

The spelling of 58461564 in words is "fifty-eight million, four hundred sixty-one thousand, five hundred sixty-four".