61506 has 32 divisors (see below), whose sum is σ = 146880. Its totient is φ = 19008.

The previous prime is 61493. The next prime is 61507. The reversal of 61506 is 60516.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2⁶¹⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

61506 is an abundant number, since it is smaller than the sum of its proper divisors (85374).

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

61506 is a wasteful number, since it uses less digits than its factorization.

61506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

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

The square root of 61506 is about 248.0040322253. The cubic root of 61506 is about 39.4735174730.

Subtracting from 61506 its reverse (60516), we obtain a triangular number (990 = T₄₄).

The spelling of 61506 in words is "sixty-one thousand, five hundred six".