58345000 has 80 divisors (see below), whose sum is σ = 156324960. Its totient is φ = 19992000.

The previous prime is 58344989. The next prime is 58345019. The reversal of 58345000 is 54385.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34167 + ... + 35833.

It is an arithmetic number, because the mean of its divisors is an integer number (1954062).

Almost surely, 2^58345000 is an apocalyptic number.

58345000 is a gapful number since it is divisible by the number (50) 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 58345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78162480).

58345000 is an abundant number, since it is smaller than the sum of its proper divisors (97979960).

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

58345000 is a wasteful number, since it uses less digits than its factorization.

58345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 58345000 is about 7638.3898826912. The cubic root of 58345000 is about 387.8536487046.

Adding to 58345000 its reverse (54385), we get a palindrome (58399385).

The spelling of 58345000 in words is "fifty-eight million, three hundred forty-five thousand".