10969920 has 168 divisors, whose sum is σ = 40773096. Its totient is φ = 2691072.

The previous prime is 10969909. The next prime is 10969921. The reversal of 10969920 is 2996901.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 9290304 = 1296^2 + 3048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10969921) 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, 37294 + ... + 37586.

It is an arithmetic number, because the mean of its divisors is an integer number (242697).

Almost surely, 2^10969920 is an apocalyptic number.

10969920 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 10969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386548).

10969920 is an abundant number, since it is smaller than the sum of its proper divisors (29803176).

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

10969920 is a wasteful number, since it uses less digits than its factorization.

10969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 10969920 is about 3312.0869553802. The cubic root of 10969920 is about 222.1951048392.

The spelling of 10969920 in words is "ten million, nine hundred sixty-nine thousand, nine hundred twenty".