61456 has 20 divisors (see below), whose sum is σ = 124992. Its totient is φ = 29216.

The previous prime is 61441. The next prime is 61463. The reversal of 61456 is 65416.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 285 + ... + 451.

2⁶¹⁴⁵⁶ 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 61456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

61456 is an abundant number, since it is smaller than the sum of its proper divisors (63536).

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

61456 is a wasteful number, since it uses less digits than its factorization.

With its successor (61457) it forms an eRAP, since the sums of their prime factors are consecutive (198 and 199).

61456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 61456 is about 247.9032069175. The cubic root of 61456 is about 39.4628181865.

The spelling of 61456 in words is "sixty-one thousand, four hundred fifty-six".