16553376 has 288 divisors, whose sum is σ = 62052480. Its totient is φ = 4257792.

The previous prime is 16553363. The next prime is 16553413. The reversal of 16553376 is 67335561.

It is a happy number.

16553376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16553376.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719701 + ... + 719723.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^16553376 is an apocalyptic number.

16553376 is a gapful number since it is divisible by the number (16) 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 16553376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

16553376 is an abundant number, since it is smaller than the sum of its proper divisors (45499104).

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

16553376 is a wasteful number, since it uses less digits than its factorization.

16553376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 16553376 is about 4068.5840288729. The cubic root of 16553376 is about 254.8563897253.

The spelling of 16553376 in words is "sixteen million, five hundred fifty-three thousand, three hundred seventy-six".