606806400 has 192 divisors, whose sum is σ = 2064153600. Its totient is φ = 156518400.

The previous prime is 606806393. The next prime is 606806461. The reversal of 606806400 is 4608606.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296581 + ... + 298619.

It is an arithmetic number, because the mean of its divisors is an integer number (10750800).

Almost surely, 2^606806400 is an apocalyptic number.

606806400 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 606806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032076800).

606806400 is an abundant number, since it is smaller than the sum of its proper divisors (1457347200).

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

606806400 is a wasteful number, since it uses less digits than its factorization.

606806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2080 counting only the distinct ones).

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

The square root of 606806400 is about 24633.4406853773. The cubic root of 606806400 is about 846.6099809804.

The spelling of 606806400 in words is "six hundred six million, eight hundred six thousand, four hundred".