1667120 has 80 divisors (see below), whose sum is σ = 4791360. Its totient is φ = 525312.

The previous prime is 1667077. The next prime is 1667131. The reversal of 1667120 is 217661.

1667120 = T₄₈₁ + T₄₈₂ + ... + T₄₉₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7166 + ... + 7394.

It is an arithmetic number, because the mean of its divisors is an integer number (59892).

2^1667120 is an apocalyptic number.

1667120 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 1667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395680).

1667120 is an abundant number, since it is smaller than the sum of its proper divisors (3124240).

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

1667120 is a wasteful number, since it uses less digits than its factorization.

1667120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1667120 is about 1291.1700120433. The cubic root of 1667120 is about 118.5738588972.

The spelling of 1667120 in words is "one million, six hundred sixty-seven thousand, one hundred twenty".