1386577920 has 512 divisors, whose sum is σ = 5637058560. Its totient is φ = 283115520.

The previous prime is 1386577883. The next prime is 1386577937. The reversal of 1386577920 is 297756831.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1386577920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44728305 + ... + 44728335.

It is an arithmetic number, because the mean of its divisors is an integer number (11009880).

Almost surely, 2^1386577920 is an apocalyptic number.

1386577920 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 1386577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818529280).

1386577920 is an abundant number, since it is smaller than the sum of its proper divisors (4250480640).

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

1386577920 is an equidigital number, since it uses as much as digits as its factorization.

1386577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 1386577920 is about 37236.7818158337. The cubic root of 1386577920 is about 1115.1024244491.

The spelling of 1386577920 in words is "one billion, three hundred eighty-six million, five hundred seventy-seven thousand, nine hundred twenty".