61296 has 20 divisors (see below), whose sum is σ = 158472. Its totient is φ = 20416.

The previous prime is 61291. The next prime is 61297. The reversal of 61296 is 69216.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61291) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 591 + ... + 686.

2⁶¹²⁹⁶ is an apocalyptic number.

It is an amenable number.

61296 is an abundant number, since it is smaller than the sum of its proper divisors (97176).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79236).

61296 is a wasteful number, since it uses less digits than its factorization.

61296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 61296 is about 247.5802900071. The cubic root of 61296 is about 39.4285414228.

It can be divided in two parts, 6 and 1296, that multiplied together give a 5-th power (7776 = 6⁵).

The spelling of 61296 in words is "sixty-one thousand, two hundred ninety-six".