1956456 has 48 divisors (see below), whose sum is σ = 5487300. Its totient is φ = 628992.

The previous prime is 1956439. The next prime is 1956481. The reversal of 1956456 is 6546591.

1956456 is a `hidden beast` number, since 1 + 9 + 5 + 645 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1822500 + 133956 = 1350^2 + 366^2 .

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

It is a d-powerful number, because it can be written as 1 + 9³ + 5 + 6⁴ + 4 + 5⁹ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 1956456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620 + ... + 2556.

2^1956456 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 1956456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743650).

1956456 is an abundant number, since it is smaller than the sum of its proper divisors (3530844).

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

1956456 is a wasteful number, since it uses less digits than its factorization.

1956456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 971 counting only the distinct ones).

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

The square root of 1956456 is about 1398.7337130419. The cubic root of 1956456 is about 125.0710209739.

The spelling of 1956456 in words is "one million, nine hundred fifty-six thousand, four hundred fifty-six".