6291120 has 80 divisors (see below), whose sum is σ = 21284352. Its totient is φ = 1524480.

The previous prime is 6291119. The next prime is 6291133. The reversal of 6291120 is 211926.

6291120 = T₁₀₆₄ + T₁₀₆₅ + ... + T₁₀₇₄.

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

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, 1449 + ... + 3831.

Almost surely, 2^6291120 is an apocalyptic number.

6291120 is a gapful number since it is divisible by the number (60) 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 6291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10642176).

6291120 is an abundant number, since it is smaller than the sum of its proper divisors (14993232).

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

6291120 is a wasteful number, since it uses less digits than its factorization.

6291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 6291120 is about 2508.2105174805. The cubic root of 6291120 is about 184.6046585649.

The spelling of 6291120 in words is "six million, two hundred ninety-one thousand, one hundred twenty".