58617920 has 56 divisors (see below), whose sum is σ = 141329664. Its totient is φ = 23154176.

The previous prime is 58617919. The next prime is 58617929. The reversal of 58617920 is 2971685.

It is not an unprimeable number, because it can be changed into a prime (58617929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25457 + ... + 27663.

It is an arithmetic number, because the mean of its divisors is an integer number (2523744).

Almost surely, 2^58617920 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 58617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70664832).

58617920 is an abundant number, since it is smaller than the sum of its proper divisors (82711744).

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

58617920 is a wasteful number, since it uses less digits than its factorization.

58617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 58617920 is about 7656.2340612079. The cubic root of 58617920 is about 388.4574616339.

The spelling of 58617920 in words is "fifty-eight million, six hundred seventeen thousand, nine hundred twenty".