1416880 has 40 divisors (see below), whose sum is σ = 3348000. Its totient is φ = 557568.

The previous prime is 1416871. The next prime is 1416913. The reversal of 1416880 is 886141.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1416880³ = 8533367802518016000, which contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7021 + ... + 7219.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

2^1416880 is an apocalyptic number.

1416880 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 1416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674000).

1416880 is an abundant number, since it is smaller than the sum of its proper divisors (1931120).

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

1416880 is a wasteful number, since it uses less digits than its factorization.

1416880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1416880 is about 1190.3276859756. The cubic root of 1416880 is about 112.3167056390.

It can be divided in two parts, 141 and 6880, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 1416880 in words is "one million, four hundred sixteen thousand, eight hundred eighty".