61596 has 36 divisors (see below), whose sum is σ = 163800. Its totient is φ = 19488.

The previous prime is 61583. The next prime is 61603. The reversal of 61596 is 69516.

61596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

61596 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 11 ways as a sum of consecutive naturals, for example, 1015 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (4550).

2⁶¹⁵⁹⁶ 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 61596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900).

61596 is an abundant number, since it is smaller than the sum of its proper divisors (102204).

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

61596 is a wasteful number, since it uses less digits than its factorization.

61596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 93 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 61596 is about 248.1854145594. The cubic root of 61596 is about 39.4927615856.

The spelling of 61596 in words is "sixty-one thousand, five hundred ninety-six".