6076980 has 216 divisors, whose sum is σ = 23528232. Its totient is φ = 1257984.

The previous prime is 6076949. The next prime is 6076981. The reversal of 6076980 is 896706.

6076980 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 5731236 = 588^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

6076980 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6076981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114634 + ... + 114686.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 2^6076980 is an apocalyptic number.

6076980 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 6076980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

6076980 is an abundant number, since it is smaller than the sum of its proper divisors (17451252).

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

6076980 is a wasteful number, since it uses less digits than its factorization.

6076980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6076980 is about 2465.1531392593. The cubic root of 6076980 is about 182.4858811871.

It can be divided in two parts, 6076 and 980, that added together give a square (7056 = 84²).

The spelling of 6076980 in words is "six million, seventy-six thousand, nine hundred eighty".