1361564640 has 240 divisors, whose sum is σ = 4961658240. Its totient is φ = 351267840.

The previous prime is 1361564579. The next prime is 1361564651. The reversal of 1361564640 is 464651631.

It is a happy number.

1361564640 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 5 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1361564595 and 1361564604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400066 + ... + 403454.

It is an arithmetic number, because the mean of its divisors is an integer number (20673576).

Almost surely, 2^1361564640 is an apocalyptic number.

1361564640 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 1361564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480829120).

1361564640 is an abundant number, since it is smaller than the sum of its proper divisors (3600093600).

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

1361564640 is a wasteful number, since it uses less digits than its factorization.

1361564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1361564640 is about 36899.3853607347. The cubic root of 1361564640 is about 1108.3563694435.

The spelling of 1361564640 in words is "one billion, three hundred sixty-one million, five hundred sixty-four thousand, six hundred forty".