58161564 has 72 divisors (see below), whose sum is σ = 155478960. Its totient is φ = 19004544.

The previous prime is 58161563. The next prime is 58161577. The reversal of 58161564 is 46516185.

58161564 is a `hidden beast` number, since 581 + 6 + 15 + 64 = 666.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58161563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50952 + ... + 52080.

It is an arithmetic number, because the mean of its divisors is an integer number (2159430).

Almost surely, 2^58161564 is an apocalyptic number.

58161564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58161564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77739480).

58161564 is an abundant number, since it is smaller than the sum of its proper divisors (97317396).

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

58161564 is a wasteful number, since it uses less digits than its factorization.

58161564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1187 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 58161564 is about 7626.3729255787. The cubic root of 58161564 is about 387.4467528639.

The spelling of 58161564 in words is "fifty-eight million, one hundred sixty-one thousand, five hundred sixty-four".