58731264 has 144 divisors (see below), whose sum is σ = 180280800. Its totient is φ = 18837504.

The previous prime is 58731263. The next prime is 58731307. The reversal of 58731264 is 46213785.

58731264 is a `hidden beast` number, since 587 + 3 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×58731264² = 6898722742075392, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (58731263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200302 + ... + 200594.

It is an arithmetic number, because the mean of its divisors is an integer number (1251950).

Almost surely, 2^58731264 is an apocalyptic number.

58731264 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 58731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90140400).

58731264 is an abundant number, since it is smaller than the sum of its proper divisors (121549536).

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

58731264 is a wasteful number, since it uses less digits than its factorization.

58731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 58731264 is about 7663.6325590414. The cubic root of 58731264 is about 388.7076750756.

The spelling of 58731264 in words is "fifty-eight million, seven hundred thirty-one thousand, two hundred sixty-four".