6468120 has 128 divisors (see below), whose sum is σ = 22161600. Its totient is φ = 1677312.

The previous prime is 6468089. The next prime is 6468149. The reversal of 6468120 is 218646.

6468120 = T₂₉₅ + T₂₉₆ + ... + T₄₀₀.

6468120 is a `hidden beast` number, since 646 + 8 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57184 + ... + 57296.

Almost surely, 2^6468120 is an apocalyptic number.

6468120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6468120 is the 1272-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6468120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080800).

6468120 is an abundant number, since it is smaller than the sum of its proper divisors (15693480).

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

6468120 is a wasteful number, since it uses less digits than its factorization.

6468120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6468120 is about 2543.2498894132. The cubic root of 6468120 is about 186.3199488027.

The spelling of 6468120 in words is "six million, four hundred sixty-eight thousand, one hundred twenty".