10387680 has 192 divisors, whose sum is σ = 37013760. Its totient is φ = 2433024.

The previous prime is 10387679. The next prime is 10387687. The reversal of 10387680 is 8678301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387687) 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, 155007 + ... + 155073.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^10387680 is an apocalyptic number.

10387680 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 10387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

10387680 is an abundant number, since it is smaller than the sum of its proper divisors (26626080).

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

10387680 is a wasteful number, since it uses less digits than its factorization.

10387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10387680 is about 3222.9923983776. The cubic root of 10387680 is about 218.1923505017.

The spelling of 10387680 in words is "ten million, three hundred eighty-seven thousand, six hundred eighty".