1306166400 has 1152 divisors, whose sum is σ = 6313881600. Its totient is φ = 248832000.

The previous prime is 1306166387. The next prime is 1306166413. The reversal of 1306166400 is 46616031.

1306166400 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 16 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1306166387) and next prime (1306166413).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42134385 + ... + 42134415.

It is an arithmetic number, because the mean of its divisors is an integer number (5480800).

Almost surely, 2^1306166400 is an apocalyptic number.

1306166400 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 1306166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156940800).

1306166400 is an abundant number, since it is smaller than the sum of its proper divisors (5007715200).

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

1306166400 is a wasteful number, since it uses less digits than its factorization.

1306166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1306166400 is about 36140.9241719135. The cubic root of 1306166400 is about 1093.1157938532.

The spelling of 1306166400 in words is "one billion, three hundred six million, one hundred sixty-six thousand, four hundred".