1258880 has 64 divisors (see below), whose sum is σ = 3451680. Its totient is φ = 430080.

The previous prime is 1258877. The next prime is 1258889. The reversal of 1258880 is 888521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4340 + ... + 4620.

2^1258880 is an apocalyptic number.

1258880 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 1258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725840).

1258880 is an abundant number, since it is smaller than the sum of its proper divisors (2192800).

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

1258880 is an equidigital number, since it uses as much as digits as its factorization.

1258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 1258880 is about 1121.9982174674. The cubic root of 1258880 is about 107.9762179002.

1258880 divided by its sum of digits (32) gives a triangular number (39340 = T₂₈₀).

The spelling of 1258880 in words is "one million, two hundred fifty-eight thousand, eight hundred eighty".