1266200 has 48 divisors (see below), whose sum is σ = 3176880. Its totient is φ = 466560.

The previous prime is 1266197. The next prime is 1266229. The reversal of 1266200 is 26621.

1266200 = T₂₉₉ + T₃₀₀ + ... + T₃₂₄.

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, 2357 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (66185).

2^1266200 is an apocalyptic number.

1266200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1266200 is the 650-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1266200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588440).

1266200 is an abundant number, since it is smaller than the sum of its proper divisors (1910680).

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

1266200 is a wasteful number, since it uses less digits than its factorization.

1266200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1266200 is about 1125.2555265361. The cubic root of 1266200 is about 108.1850963992.

The spelling of 1266200 in words is "one million, two hundred sixty-six thousand, two hundred".