4861120 has 56 divisors (see below), whose sum is σ = 12637008. Its totient is φ = 1766400.

The previous prime is 4861111. The next prime is 4861121. The reversal of 4861120 is 211684.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4861091 and 4861100.

It is not an unprimeable number, because it can be changed into a prime (4861121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2830 + ... + 4210.

Almost surely, 2^4861120 is an apocalyptic number.

4861120 is a gapful number since it is divisible by the number (40) 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 4861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318504).

4861120 is an abundant number, since it is smaller than the sum of its proper divisors (7775888).

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

4861120 is a wasteful number, since it uses less digits than its factorization.

4861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 4861120 is about 2204.7947750301. The cubic root of 4861120 is about 169.3994960554.

The spelling of 4861120 in words is "four million, eight hundred sixty-one thousand, one hundred twenty".