60057000 has 96 divisors (see below), whose sum is σ = 203023080. Its totient is φ = 16012800.

The previous prime is 60056993. The next prime is 60057007. The reversal of 60057000 is 75006.

It is an interprime number because it is at equal distance from previous prime (60056993) and next prime (60057007).

It can be written as a sum of positive squares in 4 ways, for example, as 4435236 + 55621764 = 2106^2 + 7458^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (60057007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5664 + ... + 12336.

Almost surely, 2^60057000 is an apocalyptic number.

60057000 is a gapful number since it is divisible by the number (60) 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 60057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101511540).

60057000 is an abundant number, since it is smaller than the sum of its proper divisors (142966080).

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

60057000 is a wasteful number, since it uses less digits than its factorization.

60057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 60057000 is about 7749.6451531667. The cubic root of 60057000 is about 391.6106956888.

It can be divided in two parts, 600 and 57000, that added together give a square (57600 = 240²).

The spelling of 60057000 in words is "sixty million, fifty-seven thousand".