662248800 has 432 divisors, whose sum is σ = 2534837760. Its totient is φ = 162155520.

The previous prime is 662248799. The next prime is 662248823. The reversal of 662248800 is 8842266.

662248800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6429549 + ... + 6429651.

It is an arithmetic number, because the mean of its divisors is an integer number (5867680).

Almost surely, 2^662248800 is an apocalyptic number.

662248800 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 662248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267418880).

662248800 is an abundant number, since it is smaller than the sum of its proper divisors (1872588960).

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

662248800 is a wasteful number, since it uses less digits than its factorization.

662248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 662248800 is about 25734.1951496448. The cubic root of 662248800 is about 871.6465054293.

The spelling of 662248800 in words is "six hundred sixty-two million, two hundred forty-eight thousand, eight hundred".