61810164 has 108 divisors (see below), whose sum is σ = 179132044. Its totient is φ = 17860608.

The previous prime is 61810163. The next prime is 61810219. The reversal of 61810164 is 46101816.

61810164 is digitally balanced in base 9, 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 6 ways, for example, as 5560164 + 56250000 = 2358^2 + 7500^2 .

61810164 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61810163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135024 + ... + 135480.

Almost surely, 2^61810164 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 61810164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89566022).

61810164 is an abundant number, since it is smaller than the sum of its proper divisors (117321880).

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

61810164 is a wasteful number, since it uses less digits than its factorization.

61810164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 61810164 is about 7861.9440343976. The cubic root of 61810164 is about 395.3847962021.

The spelling of 61810164 in words is "sixty-one million, eight hundred ten thousand, one hundred sixty-four".