606068400 has 240 divisors, whose sum is σ = 2315994624. Its totient is φ = 132464640.

The previous prime is 606068357. The next prime is 606068401. The reversal of 606068400 is 4860606.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (606068401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191632 + ... + 194768.

Almost surely, 2^606068400 is an apocalyptic number.

606068400 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 606068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157997312).

606068400 is an abundant number, since it is smaller than the sum of its proper divisors (1709926224).

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

606068400 is a wasteful number, since it uses less digits than its factorization.

606068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 606068400 is about 24618.4564910150. The cubic root of 606068400 is about 846.2666251033.

It can be divided in two parts, 60606 and 8400, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 606068400 in words is "six hundred six million, sixty-eight thousand, four hundred".