10039680 has 256 divisors, whose sum is σ = 41126400. Its totient is φ = 2267136.

The previous prime is 10039669. The next prime is 10039693. The reversal of 10039680 is 8693001.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 120919 + ... + 121001.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^10039680 is an apocalyptic number.

10039680 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 10039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

10039680 is an abundant number, since it is smaller than the sum of its proper divisors (31086720).

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

10039680 is an equidigital number, since it uses as much as digits as its factorization.

10039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10039680 is about 3168.5454075964. The cubic root of 10039680 is about 215.7280528199.

The spelling of 10039680 in words is "ten million, thirty-nine thousand, six hundred eighty".