4146120 has 128 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1002240.

The previous prime is 4146119. The next prime is 4146133. The reversal of 4146120 is 216414.

It is a super-2 number, since 2×4146120² = 34380622108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4146093 and 4146102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11706 + ... + 12054.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

Almost surely, 2^4146120 is an apocalyptic number.

4146120 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 4146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

4146120 is an abundant number, since it is smaller than the sum of its proper divisors (10973880).

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

4146120 is a wasteful number, since it uses less digits than its factorization.

4146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4146120 is about 2036.2023475087. The cubic root of 4146120 is about 160.6499602891.

The spelling of 4146120 in words is "four million, one hundred forty-six thousand, one hundred twenty".