57999060 has 144 divisors (see below), whose sum is σ = 202954752. Its totient is φ = 13132800.

The previous prime is 57998999. The next prime is 57999061. The reversal of 57999060 is 6099975.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 57998997 and 57999015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57999061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240540 + ... + 240780.

It is an arithmetic number, because the mean of its divisors is an integer number (1409408).

Almost surely, 2^57999060 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 57999060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101477376).

57999060 is an abundant number, since it is smaller than the sum of its proper divisors (144955692).

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

57999060 is a wasteful number, since it uses less digits than its factorization.

57999060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 57999060 is about 7615.7113915904. The cubic root of 57999060 is about 387.0855728882.

The spelling of 57999060 in words is "fifty-seven million, nine hundred ninety-nine thousand, sixty".