1364256120 has 128 divisors (see below), whose sum is σ = 4393362240. Its totient is φ = 337674240.

The previous prime is 1364256097. The next prime is 1364256121. The reversal of 1364256120 is 216524631.

It is a super-2 number, since 2×1364256120² = 3722389521914908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364256121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144340 + ... + 153500.

Almost surely, 2^1364256120 is an apocalyptic number.

1364256120 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 1364256120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196681120).

1364256120 is an abundant number, since it is smaller than the sum of its proper divisors (3029106120).

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

1364256120 is a wasteful number, since it uses less digits than its factorization.

1364256120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9265 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1364256120 is about 36935.8378813856. The cubic root of 1364256120 is about 1109.0862051628.

The spelling of 1364256120 in words is "one billion, three hundred sixty-four million, two hundred fifty-six thousand, one hundred twenty".