58390920 has 384 divisors, whose sum is σ = 242611200. Its totient is φ = 11870208.

The previous prime is 58390919. The next prime is 58390961. The reversal of 58390920 is 2909385.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242337 + ... + 1242383.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 2^58390920 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 58390920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305600).

58390920 is an abundant number, since it is smaller than the sum of its proper divisors (184220280).

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

58390920 is a wasteful number, since it uses less digits than its factorization.

58390920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 58390920 is about 7641.3951605711. The cubic root of 58390920 is about 387.9553744687.

The spelling of 58390920 in words is "fifty-eight million, three hundred ninety thousand, nine hundred twenty".