1205396064 has 288 divisors, whose sum is σ = 3764517120. Its totient is φ = 364953600.

The previous prime is 1205396063. The next prime is 1205396069. The reversal of 1205396064 is 4606935021.

It is a happy number.

1205396064 is a `hidden beast` number, since 1 + 2 + 0 + 539 + 60 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1205396064² = 2905959342213384192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205396063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13543732 + ... + 13543820.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^1205396064 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 1205396064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882258560).

1205396064 is an abundant number, since it is smaller than the sum of its proper divisors (2559121056).

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

1205396064 is a wasteful number, since it uses less digits than its factorization.

1205396064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1205396064 is about 34718.8142654671. The cubic root of 1205396064 is about 1064.2490136454.

The spelling of 1205396064 in words is "one billion, two hundred five million, three hundred ninety-six thousand, sixty-four".