61650 has 36 divisors (see below), whose sum is σ = 166842. Its totient is φ = 16320.

The previous prime is 61643. The next prime is 61651. The reversal of 61650 is 5616.

61650 is a `hidden beast` number, since 616 + 50 = 666.

61650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 47961 + 13689 = 219^2 + 117^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (61651) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 382 + ... + 518.

2⁶¹⁶⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83421).

61650 is an abundant number, since it is smaller than the sum of its proper divisors (105192).

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

61650 is a wasteful number, since it uses less digits than its factorization.

61650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61650 is about 248.2941803587. The cubic root of 61650 is about 39.5042990567.

It can be divided in two parts, 616 and 50, that added together give a palindrome (666).

The spelling of 61650 in words is "sixty-one thousand, six hundred fifty".