1468120 has 48 divisors (see below), whose sum is σ = 3536640. Its totient is φ = 548352.

The previous prime is 1468109. The next prime is 1468163. The reversal of 1468120 is 218641.

It is a junction number, because it is equal to n+sod(n) for n = 1468091 and 1468100.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11497 + ... + 11623.

It is an arithmetic number, because the mean of its divisors is an integer number (73680).

2^1468120 is an apocalyptic number.

1468120 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 1468120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768320).

1468120 is an abundant number, since it is smaller than the sum of its proper divisors (2068520).

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

1468120 is a wasteful number, since it uses less digits than its factorization.

1468120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1468120 is about 1211.6600183220. The cubic root of 1468120 is about 113.6546437501.

The spelling of 1468120 in words is "one million, four hundred sixty-eight thousand, one hundred twenty".