58674960 has 120 divisors (see below), whose sum is σ = 198469440. Its totient is φ = 15534336.

The previous prime is 58674953. The next prime is 58674961. The reversal of 58674960 is 6947685.

58674960 is a `hidden beast` number, since 586 + 7 + 4 + 9 + 60 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (58674961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163261 + ... + 163619.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^58674960 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 58674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

58674960 is an abundant number, since it is smaller than the sum of its proper divisors (139794480).

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

58674960 is a wasteful number, since it uses less digits than its factorization.

58674960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 58674960 is about 7659.9582244292. The cubic root of 58674960 is about 388.5834210131.

The spelling of 58674960 in words is "fifty-eight million, six hundred seventy-four thousand, nine hundred sixty".