1386924768 has 120 divisors (see below), whose sum is σ = 4219787880. Its totient is φ = 446342400.

The previous prime is 1386924743. The next prime is 1386924809. The reversal of 1386924768 is 8674296831.

1386924768 is a `hidden beast` number, since 1 + 3 + 86 + 92 + 476 + 8 = 666.

It is a super-3 number, since 3×1386924768³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65943 + ... + 84393.

It is an arithmetic number, because the mean of its divisors is an integer number (35164899).

Almost surely, 2^1386924768 is an apocalyptic number.

1386924768 is a gapful number since it is divisible by the number (18) 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 1386924768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109893940).

1386924768 is an abundant number, since it is smaller than the sum of its proper divisors (2832863112).

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

1386924768 is a wasteful number, since it uses less digits than its factorization.

1386924768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18502 (or 18485 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1386924768 is about 37241.4388551248. The cubic root of 1386924768 is about 1115.1953964571.

The spelling of 1386924768 in words is "one billion, three hundred eighty-six million, nine hundred twenty-four thousand, seven hundred sixty-eight".