1361460960 has 432 divisors, whose sum is σ = 5137410096. Its totient is φ = 340402176.

The previous prime is 1361460959. The next prime is 1361460973. The reversal of 1361460960 is 690641631.

1361460960 is a `hidden beast` number, since 1 + 36 + 14 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14035632 + ... + 14035728.

It is an arithmetic number, because the mean of its divisors is an integer number (11892153).

Almost surely, 2^1361460960 is an apocalyptic number.

1361460960 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 1361460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568705048).

1361460960 is an abundant number, since it is smaller than the sum of its proper divisors (3775949136).

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

1361460960 is an equidigital number, since it uses as much as digits as its factorization.

1361460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1361460960 is about 36897.9804325386. The cubic root of 1361460960 is about 1108.3282358042.

The spelling of 1361460960 in words is "one billion, three hundred sixty-one million, four hundred sixty thousand, nine hundred sixty".