16553040 has 160 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 3697152.

The previous prime is 16552973. The next prime is 16553041. The reversal of 16553040 is 4035561.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16553040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16553041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99037 + ... + 99203.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^16553040 is an apocalyptic number.

16553040 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 16553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

16553040 is an abundant number, since it is smaller than the sum of its proper divisors (43443120).

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

16553040 is a wasteful number, since it uses less digits than its factorization.

16553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 16553040 is about 4068.5427366565. The cubic root of 16553040 is about 254.8546653575.

The spelling of 16553040 in words is "sixteen million, five hundred fifty-three thousand, forty".