1381306680 has 192 divisors, whose sum is σ = 4991051520. Its totient is φ = 329011200.

The previous prime is 1381306679. The next prime is 1381306691. The reversal of 1381306680 is 866031831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140320 + ... + 149840.

It is an arithmetic number, because the mean of its divisors is an integer number (25995060).

Almost surely, 2^1381306680 is an apocalyptic number.

1381306680 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 1381306680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495525760).

1381306680 is an abundant number, since it is smaller than the sum of its proper divisors (3609744840).

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

1381306680 is a wasteful number, since it uses less digits than its factorization.

1381306680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1381306680 is about 37165.9344023529. The cubic root of 1381306680 is about 1113.6875654179.

The spelling of 1381306680 in words is "one billion, three hundred eighty-one million, three hundred six thousand, six hundred eighty".