58049600 has 168 divisors, whose sum is σ = 167810688. Its totient is φ = 19353600.

The previous prime is 58049599. The next prime is 58049609. The reversal of 58049600 is 694085.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is not an unprimeable number, because it can be changed into a prime (58049609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795164 + ... + 795236.

Almost surely, 2^58049600 is an apocalyptic number.

58049600 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 58049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83905344).

58049600 is an abundant number, since it is smaller than the sum of its proper divisors (109761088).

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

58049600 is a wasteful number, since it uses less digits than its factorization.

58049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 58049600 is about 7619.0288095006. The cubic root of 58049600 is about 387.1979748545.

The spelling of 58049600 in words is "fifty-eight million, forty-nine thousand, six hundred".