1361645460 has 144 divisors (see below), whose sum is σ = 4821014016. Its totient is φ = 304598016.

The previous prime is 1361645449. The next prime is 1361645479. The reversal of 1361645460 is 645461631.

It is a happy number.

1361645460 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 645 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×1361645460² = 3708156717477223200, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47724 + ... + 70716.

It is an arithmetic number, because the mean of its divisors is an integer number (33479264).

Almost surely, 2^1361645460 is an apocalyptic number.

1361645460 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 1361645460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410507008).

1361645460 is an abundant number, since it is smaller than the sum of its proper divisors (3459368556).

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

1361645460 is a wasteful number, since it uses less digits than its factorization.

1361645460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23062 (or 23057 counting only the distinct ones).

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

The square root of 1361645460 is about 36900.4804846766. The cubic root of 1361645460 is about 1108.3782990155.

The spelling of 1361645460 in words is "one billion, three hundred sixty-one million, six hundred forty-five thousand, four hundred sixty".