1288900 has 18 divisors (see below), whose sum is σ = 2797130. Its totient is φ = 515520.

The previous prime is 1288891. The next prime is 1288919. The reversal of 1288900 is 98821.

It can be written as a sum of positive squares in 3 ways, for example, as 135424 + 1153476 = 368^2 + 1074^2 .

It is a super-2 number, since 2×1288900² = 3322526420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6345 + ... + 6544.

2^1288900 is an apocalyptic number.

1288900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288900 is an abundant number, since it is smaller than the sum of its proper divisors (1508230).

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

1288900 is a wasteful number, since it uses less digits than its factorization.

1288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12903 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1288900 is about 1135.2973178864. The cubic root of 1288900 is about 108.8277727903.

The spelling of 1288900 in words is "one million, two hundred eighty-eight thousand, nine hundred".