1365576960 has 216 divisors, whose sum is σ = 4795469280. Its totient is φ = 330936320.

The previous prime is 1365576943. The next prime is 1365576967. The reversal of 1365576960 is 696755631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365576967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463171 + ... + 466109.

Almost surely, 2^1365576960 is an apocalyptic number.

1365576960 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 1365576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397734640).

1365576960 is an abundant number, since it is smaller than the sum of its proper divisors (3429892320).

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

1365576960 is a wasteful number, since it uses less digits than its factorization.

1365576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 1365576960 is about 36953.7137511239. The cubic root of 1365576960 is about 1109.4440199180. Note that the first 3 decimals are identical.

The spelling of 1365576960 in words is "one billion, three hundred sixty-five million, five hundred seventy-six thousand, nine hundred sixty".