16540992 has 126 divisors (see below), whose sum is σ = 52168298. Its totient is φ = 4981248.

The previous prime is 16540967. The next prime is 16541009. The reversal of 16540992 is 29904561.

16540992 is a `hidden beast` number, since 165 + 409 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11451456 + 5089536 = 3384^2 + 2256^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 351913 + ... + 351959.

Almost surely, 2^16540992 is an apocalyptic number.

16540992 is a gapful number since it is divisible by the number (12) 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 16540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26084149).

16540992 is an abundant number, since it is smaller than the sum of its proper divisors (35627306).

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

16540992 is a wasteful number, since it uses less digits than its factorization.

16540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 16540992 is about 4067.0618387234. The cubic root of 16540992 is about 254.7928190289.

The spelling of 16540992 in words is "sixteen million, five hundred forty thousand, nine hundred ninety-two".