58307340 has 192 divisors, whose sum is σ = 205470720. Its totient is φ = 12026880.

The previous prime is 58307321. The next prime is 58307341. The reversal of 58307340 is 4370385.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58307298 and 58307307.

It is not an unprimeable number, because it can be changed into a prime (58307341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322050 + ... + 322230.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^58307340 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 58307340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

58307340 is an abundant number, since it is smaller than the sum of its proper divisors (147163380).

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

58307340 is a wasteful number, since it uses less digits than its factorization.

58307340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 58307340 is about 7635.9243055442. The cubic root of 58307340 is about 387.7701813281.

The spelling of 58307340 in words is "fifty-eight million, three hundred seven thousand, three hundred forty".