1364880 has 120 divisors (see below), whose sum is σ = 4749696. Its totient is φ = 323840.

The previous prime is 1364861. The next prime is 1364897. The reversal of 1364880 is 884631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29017 + ... + 29063.

2^1364880 is an apocalyptic number.

1364880 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 1364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848).

1364880 is an abundant number, since it is smaller than the sum of its proper divisors (3384816).

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

1364880 is a wasteful number, since it uses less digits than its factorization.

1364880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1364880 is about 1168.2807881670. The cubic root of 1364880 is about 110.9255242644.

Subtracting from 1364880 its reverse (884631), we obtain a square (480249 = 693²).

The spelling of 1364880 in words is "one million, three hundred sixty-four thousand, eight hundred eighty".