1961456 has 40 divisors (see below), whose sum is σ = 4416384. Its totient is φ = 826560.

The previous prime is 1961447. The next prime is 1961461. The reversal of 1961456 is 6541691.

It is a d-powerful number, because it can be written as 1 + 9² + 6³ + 1 + 4⁴ + 5⁹ + 6⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9191 + ... + 9401.

2^1961456 is an apocalyptic number.

1961456 is a gapful number since it is divisible by the number (16) 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 1961456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208192).

1961456 is an abundant number, since it is smaller than the sum of its proper divisors (2454928).

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

1961456 is a wasteful number, since it uses less digits than its factorization.

1961456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 1961456 is about 1400.5199034644. The cubic root of 1961456 is about 125.1774758992.

The spelling of 1961456 in words is "one million, nine hundred sixty-one thousand, four hundred fifty-six".