1252880 has 20 divisors (see below), whose sum is σ = 2913132. Its totient is φ = 501120.

The previous prime is 1252877. The next prime is 1252897. The reversal of 1252880 is 882521.

It can be written as a sum of positive squares in 2 ways, for example, as 952576 + 300304 = 976^2 + 548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7751 + ... + 7910.

2^1252880 is an apocalyptic number.

1252880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252880 is an abundant number, since it is smaller than the sum of its proper divisors (1660252).

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

1252880 is a wasteful number, since it uses less digits than its factorization.

1252880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15674 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1252880 is about 1119.3212228847. The cubic root of 1252880 is about 107.8044013380.

It can be divided in two parts, 125 and 2880, that multiplied together give a square (360000 = 600²).

The spelling of 1252880 in words is "one million, two hundred fifty-two thousand, eight hundred eighty".