1364821120 has 128 divisors (see below), whose sum is σ = 3600359280. Its totient is φ = 491520000.

The previous prime is 1364821103. The next prime is 1364821169. The reversal of 1364821120 is 211284631.

It can be written as a sum of positive squares in 8 ways, for example, as 4096576 + 1360724544 = 2024^2 + 36888^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339120 + ... + 343120.

Almost surely, 2^1364821120 is an apocalyptic number.

1364821120 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 1364821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800179640).

1364821120 is an abundant number, since it is smaller than the sum of its proper divisors (2235538160).

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

1364821120 is a wasteful number, since it uses less digits than its factorization.

1364821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1364821120 is about 36943.4854879720. The cubic root of 1364821120 is about 1109.2392915739.

The spelling of 1364821120 in words is "one billion, three hundred sixty-four million, eight hundred twenty-one thousand, one hundred twenty".