61164220 has 48 divisors (see below), whose sum is σ = 138918528. Its totient is φ = 22487040.

The previous prime is 61164203. The next prime is 61164221. The reversal of 61164220 is 2246116.

It is a junction number, because it is equal to n+sod(n) for n = 61164191 and 61164200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61164221) 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, 95100 + ... + 95740.

It is an arithmetic number, because the mean of its divisors is an integer number (2894136).

Almost surely, 2^61164220 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 61164220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69459264).

61164220 is an abundant number, since it is smaller than the sum of its proper divisors (77754308).

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

61164220 is a wasteful number, since it uses less digits than its factorization.

61164220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 61164220 is about 7820.7557179597. The cubic root of 61164220 is about 394.0026540057.

The spelling of 61164220 in words is "sixty-one million, one hundred sixty-four thousand, two hundred twenty".