4126980 has 144 divisors (see below), whose sum is σ = 14019264. Its totient is φ = 898560.

The previous prime is 4126979. The next prime is 4126987. The reversal of 4126980 is 896214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4126987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111522 + ... + 111558.

It is an arithmetic number, because the mean of its divisors is an integer number (97356).

Almost surely, 2^4126980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009632).

4126980 is an abundant number, since it is smaller than the sum of its proper divisors (9892284).

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

4126980 is a wasteful number, since it uses less digits than its factorization.

4126980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4126980 is about 2031.4969849842. The cubic root of 4126980 is about 160.4023726699.

The spelling of 4126980 in words is "four million, one hundred twenty-six thousand, nine hundred eighty".