1387264320 has 560 divisors, whose sum is σ = 5576376960. Its totient is φ = 324808704.

The previous prime is 1387264303. The next prime is 1387264321. The reversal of 1387264320 is 234627831.

It is a happy number.

1387264320 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 2 + 643 + 2 + 0 = 666.

1387264320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (1387264321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7749991 + ... + 7750169.

It is an arithmetic number, because the mean of its divisors is an integer number (9957816).

Almost surely, 2^1387264320 is an apocalyptic number.

1387264320 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 1387264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788188480).

1387264320 is an abundant number, since it is smaller than the sum of its proper divisors (4189112640).

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

1387264320 is a wasteful number, since it uses less digits than its factorization.

1387264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1387264320 is about 37245.9973688449. The cubic root of 1387264320 is about 1115.2863977712.

The spelling of 1387264320 in words is "one billion, three hundred eighty-seven million, two hundred sixty-four thousand, three hundred twenty".