1387653120 has 480 divisors, whose sum is σ = 5708102400. Its totient is φ = 315850752.

The previous prime is 1387653073. The next prime is 1387653139. The reversal of 1387653120 is 213567831.

1387653120 is a `hidden beast` number, since 1 + 38 + 76 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805961 + ... + 5806199.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2^1387653120 is an apocalyptic number.

1387653120 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 1387653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854051200).

1387653120 is an abundant number, since it is smaller than the sum of its proper divisors (4320449280).

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

1387653120 is an equidigital number, since it uses as much as digits as its factorization.

1387653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1387653120 is about 37251.2163559796. The cubic root of 1387653120 is about 1115.3905795150.

The spelling of 1387653120 in words is "one billion, three hundred eighty-seven million, six hundred fifty-three thousand, one hundred twenty".