1314880 has 56 divisors (see below), whose sum is σ = 3584448. Its totient is φ = 450048.

The previous prime is 1314871. The next prime is 1314883. The reversal of 1314880 is 884131.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1314883) 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, 1947 + ... + 2533.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

2^1314880 is an apocalyptic number.

1314880 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 1314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792224).

1314880 is an abundant number, since it is smaller than the sum of its proper divisors (2269568).

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

1314880 is an equidigital number, since it uses as much as digits as its factorization.

1314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1314880 is about 1146.6821704378. The cubic root of 1314880 is about 109.5541179360.

The spelling of 1314880 in words is "one million, three hundred fourteen thousand, eight hundred eighty".