1258800 has 60 divisors (see below), whose sum is σ = 4036200. Its totient is φ = 335360.

The previous prime is 1258787. The next prime is 1258811. The reversal of 1258800 is 88521.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (67270).

2^1258800 is an apocalyptic number.

1258800 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 1258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018100).

1258800 is an abundant number, since it is smaller than the sum of its proper divisors (2777400).

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

1258800 is a wasteful number, since it uses less digits than its factorization.

1258800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1258800 is about 1121.9625662205. The cubic root of 1258800 is about 107.9739306077.

It can be divided in two parts, 12 and 58800, that multiplied together give a square (705600 = 840²).

The spelling of 1258800 in words is "one million, two hundred fifty-eight thousand, eight hundred".