6112980 has 36 divisors (see below), whose sum is σ = 18543252. Its totient is φ = 1630080.

The previous prime is 6112973. The next prime is 6112987. The reversal of 6112980 is 892116.

It is an interprime number because it is at equal distance from previous prime (6112973) and next prime (6112987).

It can be written as a sum of positive squares in 2 ways, for example, as 1077444 + 5035536 = 1038^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6112987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16801 + ... + 17160.

Almost surely, 2^6112980 is an apocalyptic number.

6112980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6112980 is an abundant number, since it is smaller than the sum of its proper divisors (12430272).

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

6112980 is a wasteful number, since it uses less digits than its factorization.

6112980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33976 (or 33971 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6112980 is about 2472.4441348593. Note that the first 3 decimals coincide. The cubic root of 6112980 is about 182.8455204434.

Subtracting from 6112980 its product of nonzero digits (864), we obtain a palindrome (6112116).

It can be divided in two parts, 61 and 12980, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 6112980 in words is "six million, one hundred twelve thousand, nine hundred eighty".