6112080 has 120 divisors (see below), whose sum is σ = 22139208. Its totient is φ = 1502208.

The previous prime is 6112079. The next prime is 6112081. The reversal of 6112080 is 802116.

It is an interprime number because it is at equal distance from previous prime (6112079) and next prime (6112081).

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 6110784 = 36^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6112081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9034 + ... + 9686.

Almost surely, 2^6112080 is an apocalyptic number.

6112080 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 6112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069604).

6112080 is an abundant number, since it is smaller than the sum of its proper divisors (16027128).

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

6112080 is a wasteful number, since it uses less digits than its factorization.

6112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 6112080 is about 2472.2621220251. The cubic root of 6112080 is about 182.8365466944.

Adding to 6112080 its reverse (802116), we get a palindrome (6914196).

The spelling of 6112080 in words is "six million, one hundred twelve thousand, eighty".