606766400 has 84 divisors (see below), whose sum is σ = 1510154460. Its totient is φ = 239923200.

The previous prime is 606766399. The next prime is 606766429. The reversal of 606766400 is 4667606.

It can be written as a sum of positive squares in 6 ways, for example, as 30976 + 606735424 = 176^2 + 24632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140270 + ... + 144530.

Almost surely, 2^606766400 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 606766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755077230).

606766400 is an abundant number, since it is smaller than the sum of its proper divisors (903388060).

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

606766400 is a wasteful number, since it uses less digits than its factorization.

606766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 606766400 is about 24632.6287675514. The cubic root of 606766400 is about 846.5913780436.

It can be divided in two parts, 60676 and 6400, that added together give a palindrome (67076).

The spelling of 606766400 in words is "six hundred six million, seven hundred sixty-six thousand, four hundred".