61896 has 16 divisors (see below), whose sum is σ = 154800. Its totient is φ = 20624.

The previous prime is 61879. The next prime is 61909. The reversal of 61896 is 69816.

61896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61896² = 7662229632, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is an unprimeable number.

61896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1266 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (9675).

2⁶¹⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

61896 is an abundant number, since it is smaller than the sum of its proper divisors (92904).

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 (77400).

61896 is a wasteful number, since it uses less digits than its factorization.

61896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2584 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 61896 is about 248.7890672839. The cubic root of 61896 is about 39.5567735648.

The spelling of 61896 in words is "sixty-one thousand, eight hundred ninety-six".