58408668 has 96 divisors (see below), whose sum is σ = 166017600. Its totient is φ = 17676288.

The previous prime is 58408667. The next prime is 58408699. The reversal of 58408668 is 86680485.

58408668 is a `hidden beast` number, since 584 + 0 + 8 + 6 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58408667) 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, 52696 + ... + 53792.

It is an arithmetic number, because the mean of its divisors is an integer number (1729350).

Almost surely, 2^58408668 is an apocalyptic number.

58408668 is a gapful number since it is divisible by the number (58) 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 58408668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83008800).

58408668 is an abundant number, since it is smaller than the sum of its proper divisors (107608932).

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

58408668 is a wasteful number, since it uses less digits than its factorization.

58408668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 58408668 is about 7642.5563785948. The cubic root of 58408668 is about 387.9946770092.

The spelling of 58408668 in words is "fifty-eight million, four hundred eight thousand, six hundred sixty-eight".