16953120 has 144 divisors (see below), whose sum is σ = 59105592. Its totient is φ = 4423680.

The previous prime is 16953113. The next prime is 16953121. The reversal of 16953120 is 2135961.

It can be written as a sum of positive squares in 4 ways, for example, as 6533136 + 10419984 = 2556^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16953121) 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, 87744 + ... + 87936.

Almost surely, 2^16953120 is an apocalyptic number.

16953120 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 16953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29552796).

16953120 is an abundant number, since it is smaller than the sum of its proper divisors (42152472).

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

16953120 is a wasteful number, since it uses less digits than its factorization.

16953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 16953120 is about 4117.4166658234. The cubic root of 16953120 is about 256.8915852328.

The spelling of 16953120 in words is "sixteen million, nine hundred fifty-three thousand, one hundred twenty".