1288980 has 192 divisors, whose sum is σ = 5160960. Its totient is φ = 259200.

The previous prime is 1288967. The next prime is 1288981. The reversal of 1288980 is 898821.

It is a super-2 number, since 2×1288980² = 3322938880800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41565 + ... + 41595.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2^1288980 is an apocalyptic number.

1288980 is a gapful number since it is divisible by the number (10) 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 1288980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580480).

1288980 is an abundant number, since it is smaller than the sum of its proper divisors (3871980).

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

1288980 is a wasteful number, since it uses less digits than its factorization.

1288980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1288980 is about 1135.3325504010. The cubic root of 1288980 is about 108.8300243334.

The spelling of 1288980 in words is "one million, two hundred eighty-eight thousand, nine hundred eighty".