10920240 has 120 divisors (see below), whose sum is σ = 38010960. Its totient is φ = 2806272.

The previous prime is 10920233. The next prime is 10920241. The reversal of 10920240 is 4202901.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10920241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20619 + ... + 21141.

It is an arithmetic number, because the mean of its divisors is an integer number (316758).

Almost surely, 2^10920240 is an apocalyptic number.

10920240 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 10920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005480).

10920240 is an abundant number, since it is smaller than the sum of its proper divisors (27090720).

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

10920240 is a wasteful number, since it uses less digits than its factorization.

10920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10920240 is about 3304.5786418241. The cubic root of 10920240 is about 221.8591753575.

The spelling of 10920240 in words is "ten million, nine hundred twenty thousand, two hundred forty".