4120956 has 120 divisors (see below), whose sum is σ = 13009920. Its totient is φ = 1111968.

The previous prime is 4120939. The next prime is 4120957. The reversal of 4120956 is 6590214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52125 + ... + 52203.

It is an arithmetic number, because the mean of its divisors is an integer number (108416).

Almost surely, 2^4120956 is an apocalyptic number.

4120956 is a gapful number since it is divisible by the number (46) 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 4120956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504960).

4120956 is an abundant number, since it is smaller than the sum of its proper divisors (8888964).

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

4120956 is a wasteful number, since it uses less digits than its factorization.

4120956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4120956 is about 2030.0137930566. The cubic root of 4120956 is about 160.3242901968.

4120956 divided by its sum of digits (27) gives a triangular number (152628 = T₅₅₂).

The spelling of 4120956 in words is "four million, one hundred twenty thousand, nine hundred fifty-six".