16249120 has 48 divisors (see below), whose sum is σ = 39340728. Its totient is φ = 6338560.

The previous prime is 16249099. The next prime is 16249133. The reversal of 16249120 is 2194261.

It can be written as a sum of positive squares in 4 ways, for example, as 8785296 + 7463824 = 2964^2 + 2732^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5322 + ... + 7798.

Almost surely, 2^16249120 is an apocalyptic number.

16249120 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 16249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670364).

16249120 is an abundant number, since it is smaller than the sum of its proper divisors (23091608).

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

16249120 is a wasteful number, since it uses less digits than its factorization.

16249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 16249120 is about 4031.0197221051. The cubic root of 16249120 is about 253.2852786660.

The spelling of 16249120 in words is "sixteen million, two hundred forty-nine thousand, one hundred twenty".