1381679520 has 192 divisors, whose sum is σ = 4717077120. Its totient is φ = 337932288.

The previous prime is 1381679513. The next prime is 1381679527. The reversal of 1381679520 is 259761831.

It is an interprime number because it is at equal distance from previous prime (1381679513) and next prime (1381679527).

It is not an unprimeable number, because it can be changed into a prime (1381679527) 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, 1116342 + ... + 1117578.

It is an arithmetic number, because the mean of its divisors is an integer number (24568110).

Almost surely, 2^1381679520 is an apocalyptic number.

1381679520 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 1381679520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358538560).

1381679520 is an abundant number, since it is smaller than the sum of its proper divisors (3335397600).

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

1381679520 is a wasteful number, since it uses less digits than its factorization.

1381679520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1381679520 is about 37170.9499475060. The cubic root of 1381679520 is about 1113.7877579685.

The spelling of 1381679520 in words is "one billion, three hundred eighty-one million, six hundred seventy-nine thousand, five hundred twenty".