58679460 has 108 divisors (see below), whose sum is σ = 207085788. Its totient is φ = 13410432.

The previous prime is 58679459. The next prime is 58679473. The reversal of 58679460 is 6497685.

58679460 is a `hidden beast` number, since 586 + 7 + 9 + 4 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 49787136 = 2982^2 + 7056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5494 + ... + 12146.

It is an arithmetic number, because the mean of its divisors is an integer number (1917461).

Almost surely, 2^58679460 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 58679460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103542894).

58679460 is an abundant number, since it is smaller than the sum of its proper divisors (148406328).

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

58679460 is a wasteful number, since it uses less digits than its factorization.

58679460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6670 counting only the distinct ones).

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

The square root of 58679460 is about 7660.2519540809. The cubic root of 58679460 is about 388.5933547264.

The spelling of 58679460 in words is "fifty-eight million, six hundred seventy-nine thousand, four hundred sixty".