1361006064 has 240 divisors, whose sum is σ = 4361220864. Its totient is φ = 410857920.

The previous prime is 1361006063. The next prime is 1361006069. The reversal of 1361006064 is 4606001631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361006063) 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, 5174797 + ... + 5175059.

Almost surely, 2^1361006064 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 1361006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180610432).

1361006064 is an abundant number, since it is smaller than the sum of its proper divisors (3000214800).

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

1361006064 is an equidigital number, since it uses as much as digits as its factorization.

1361006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 279 counting only the distinct ones).

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

The square root of 1361006064 is about 36891.8156777354. The cubic root of 1361006064 is about 1108.2047825780.

Adding to 1361006064 its reverse (4606001631), we get a palindrome (5967007695).

The spelling of 1361006064 in words is "one billion, three hundred sixty-one million, six thousand, sixty-four".