1064400180 has 96 divisors (see below), whose sum is σ = 3092221440. Its totient is φ = 273361920.

The previous prime is 1064400149. The next prime is 1064400229. The reversal of 1064400180 is 810044601.

It is a super-2 number, since 2×1064400180² = 2265895486368064800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064400180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191602 + ... + 197078.

It is an arithmetic number, because the mean of its divisors is an integer number (32210640).

Almost surely, 2^1064400180 is an apocalyptic number.

1064400180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064400180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546110720).

1064400180 is an abundant number, since it is smaller than the sum of its proper divisors (2027821260).

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

1064400180 is a wasteful number, since it uses less digits than its factorization.

1064400180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1064400180 is about 32625.1464364530. The cubic root of 1064400180 is about 1021.0217174738.

Adding to 1064400180 its reverse (810044601), we get a palindrome (1874444781).

The spelling of 1064400180 in words is "one billion, sixty-four million, four hundred thousand, one hundred eighty".