4292120 has 32 divisors (see below), whose sum is σ = 11037600. Its totient is φ = 1471488.

The previous prime is 4292117. The next prime is 4292129. The reversal of 4292120 is 212924.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4292092 and 4292101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292129) 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, 7385 + ... + 7944.

It is an arithmetic number, because the mean of its divisors is an integer number (344925).

Almost surely, 2^4292120 is an apocalyptic number.

4292120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4292120 is an abundant number, since it is smaller than the sum of its proper divisors (6745480).

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

4292120 is a wasteful number, since it uses less digits than its factorization.

4292120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15347 (or 15343 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4292120 is about 2071.7432273330. The cubic root of 4292120 is about 162.5139396326.

The spelling of 4292120 in words is "four million, two hundred ninety-two thousand, one hundred twenty".