4127820 has 48 divisors (see below), whose sum is σ = 11702880. Its totient is φ = 1086976.

The previous prime is 4127801. The next prime is 4127843. The reversal of 4127820 is 287214.

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, 4954 + ... + 5726.

It is an arithmetic number, because the mean of its divisors is an integer number (243810).

Almost surely, 2^4127820 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 4127820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851440).

4127820 is an abundant number, since it is smaller than the sum of its proper divisors (7575060).

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

4127820 is a wasteful number, since it uses less digits than its factorization.

4127820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4127820 is about 2031.7037185574. The cubic root of 4127820 is about 160.4132546266.

Subtracting from 4127820 its reverse (287214), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4127820 in words is "four million, one hundred twenty-seven thousand, eight hundred twenty".