58290540 has 288 divisors, whose sum is σ = 217362432. Its totient is φ = 11404800.

The previous prime is 58290523. The next prime is 58290541. The reversal of 58290540 is 4509285.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (58290541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1575402 + ... + 1575438.

Almost surely, 2^58290540 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 58290540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108681216).

58290540 is an abundant number, since it is smaller than the sum of its proper divisors (159071892).

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

58290540 is a wasteful number, since it uses less digits than its factorization.

58290540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 58290540 is about 7634.8241630047. The cubic root of 58290540 is about 387.7329352180.

The spelling of 58290540 in words is "fifty-eight million, two hundred ninety thousand, five hundred forty".