4561956 has 72 divisors (see below), whose sum is σ = 13517504. Its totient is φ = 1270080.

The previous prime is 4561943. The next prime is 4561979. The reversal of 4561956 is 6591654.

4561956 is a `hidden beast` number, since 4 + 561 + 95 + 6 = 666.

It is a super-2 number, since 2×4561956² = 41622885091872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4561956.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10626 + ... + 11046.

Almost surely, 2^4561956 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 4561956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758752).

4561956 is an abundant number, since it is smaller than the sum of its proper divisors (8955548).

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

4561956 is a wasteful number, since it uses less digits than its factorization.

4561956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 4561956 is about 2135.8735917652. The cubic root of 4561956 is about 165.8505937832.

It can be divided in two parts, 45 and 61956, that added together give a square (62001 = 249²).

The spelling of 4561956 in words is "four million, five hundred sixty-one thousand, nine hundred fifty-six".