1258920 has 96 divisors (see below), whose sum is σ = 4422600. Its totient is φ = 308736.

The previous prime is 1258903. The next prime is 1258927. The reversal of 1258920 is 298521.

It can be written as a sum of positive squares in 4 ways, for example, as 459684 + 799236 = 678^2 + 894^2 .

It is not an unprimeable number, because it can be changed into a prime (1258927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4546 + ... + 4814.

2^1258920 is an apocalyptic number.

1258920 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 1258920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211300).

1258920 is an abundant number, since it is smaller than the sum of its proper divisors (3163680).

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

1258920 is a wasteful number, since it uses less digits than its factorization.

1258920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1258920 is about 1122.0160426661. The cubic root of 1258920 is about 107.9773615101.

It can be divided in two parts, 125 and 8920, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 1258920 in words is "one million, two hundred fifty-eight thousand, nine hundred twenty".