1259928 has 64 divisors (see below), whose sum is σ = 3696000. Its totient is φ = 396576.

The previous prime is 1259927. The next prime is 1259939. The reversal of 1259928 is 8299521.

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

It is a junction number, because it is equal to n+sod(n) for n = 1259892 and 1259901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3951 + ... + 4257.

It is an arithmetic number, because the mean of its divisors is an integer number (57750).

2^1259928 is an apocalyptic number.

1259928 is a gapful number since it is divisible by the number (18) 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 1259928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848000).

1259928 is an abundant number, since it is smaller than the sum of its proper divisors (2436072).

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

1259928 is a wasteful number, since it uses less digits than its factorization.

1259928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1259928 is about 1122.4651442250. The cubic root of 1259928 is about 108.0061724867.

It can be divided in two parts, 1259 and 928, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1259928 in words is "one million, two hundred fifty-nine thousand, nine hundred twenty-eight".