1366606080 has 540 divisors, whose sum is σ = 5709474540. Its totient is φ = 311205888.

The previous prime is 1366606037. The next prime is 1366606147. The reversal of 1366606080 is 806066631.

It can be written as a sum of positive squares in 2 ways, for example, as 260112384 + 1106493696 = 16128^2 + 33264^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×1366606080² = 3735224355785932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080186 + ... + 5080454.

It is an arithmetic number, because the mean of its divisors is an integer number (10573101).

Almost surely, 2^1366606080 is an apocalyptic number.

1366606080 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 1366606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854737270).

1366606080 is an abundant number, since it is smaller than the sum of its proper divisors (4342868460).

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

1366606080 is an equidigital number, since it uses as much as digits as its factorization.

1366606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1366606080 is about 36967.6355749188. The cubic root of 1366606080 is about 1109.7226480167.

The spelling of 1366606080 in words is "one billion, three hundred sixty-six million, six hundred six thousand, eighty".