10739680 has 96 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 3580416.

The previous prime is 10739653. The next prime is 10739681. The reversal of 10739680 is 8693701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10739681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48049 + ... + 48271.

It is an arithmetic number, because the mean of its divisors is an integer number (310464).

Almost surely, 2^10739680 is an apocalyptic number.

10739680 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 10739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

10739680 is an abundant number, since it is smaller than the sum of its proper divisors (19064864).

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

10739680 is a wasteful number, since it uses less digits than its factorization.

10739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 10739680 is about 3277.1450990153. The cubic root of 10739680 is about 220.6296014309.

The spelling of 10739680 in words is "ten million, seven hundred thirty-nine thousand, six hundred eighty".