10780164 has 36 divisors (see below), whose sum is σ = 27702220. Its totient is φ = 3533760.

The previous prime is 10780153. The next prime is 10780177. The reversal of 10780164 is 46108701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5904900 + 4875264 = 2430^2 + 2208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 4650.

Almost surely, 2^10780164 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 10780164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851110).

10780164 is an abundant number, since it is smaller than the sum of its proper divisors (16922056).

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

10780164 is a wasteful number, since it uses less digits than its factorization.

10780164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10780164 is about 3283.3160067225. The cubic root of 10780164 is about 220.9064802267.

Adding to 10780164 its reverse (46108701), we get a palindrome (56888865).

The spelling of 10780164 in words is "ten million, seven hundred eighty thousand, one hundred sixty-four".