16479600 has 120 divisors (see below), whose sum is σ = 54615552. Its totient is φ = 4243200.

The previous prime is 16479599. The next prime is 16479607. The reversal of 16479600 is 697461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16479607) 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, 36979 + ... + 37421.

Almost surely, 2^16479600 is an apocalyptic number.

16479600 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 16479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27307776).

16479600 is an abundant number, since it is smaller than the sum of its proper divisors (38135952).

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

16479600 is a wasteful number, since it uses less digits than its factorization.

16479600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 16479600 is about 4059.5073592740. The cubic root of 16479600 is about 254.4772065022.

The spelling of 16479600 in words is "sixteen million, four hundred seventy-nine thousand, six hundred".