6010000 has 50 divisors (see below), whose sum is σ = 14575022. Its totient is φ = 2400000.

The previous prime is 6009979. The next prime is 6010009. The reversal of 6010000 is 106.

It can be written as a sum of positive squares in 5 ways, for example, as 1327104 + 4682896 = 1152^2 + 2164^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×6010000² = 72240200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6010009) 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 9 ways as a sum of consecutive naturals, for example, 9700 + ... + 10300.

Almost surely, 2^6010000 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 6010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287511).

6010000 is an abundant number, since it is smaller than the sum of its proper divisors (8565022).

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

6010000 is an equidigital number, since it uses as much as digits as its factorization.

6010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 6010000 is about 2451.5301344263. The cubic root of 6010000 is about 181.8129543952.

Adding to 6010000 its reverse (106), we get a palindrome (6010106).

The spelling of 6010000 in words is "six million, ten thousand".