10749280 has 72 divisors (see below), whose sum is σ = 26756352. Its totient is φ = 4080384.

The previous prime is 10749259. The next prime is 10749283. The reversal of 10749280 is 8294701.

10749280 = T₂₃₄ + T₂₃₅ + ... + T₄₂₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10749283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84577 + ... + 84703.

It is an arithmetic number, because the mean of its divisors is an integer number (371616).

Almost surely, 2^10749280 is an apocalyptic number.

10749280 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 10749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378176).

10749280 is an abundant number, since it is smaller than the sum of its proper divisors (16007072).

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

10749280 is a wasteful number, since it uses less digits than its factorization.

10749280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 10749280 is about 3278.6094613418. The cubic root of 10749280 is about 220.6953207507.

The spelling of 10749280 in words is "ten million, seven hundred forty-nine thousand, two hundred eighty".