14996016 has 240 divisors, whose sum is σ = 54163200. Its totient is φ = 3919104.

The previous prime is 14995999. The next prime is 14996039. The reversal of 14996016 is 61069941.

14996016 = 669² + 670² + ... + 700².

14996016 is a `hidden beast` number, since 1 + 49 + 9 + 601 + 6 = 666.

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

It is a congruent number.

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, 517090 + ... + 517118.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^14996016 is an apocalyptic number.

14996016 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 14996016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081600).

14996016 is an abundant number, since it is smaller than the sum of its proper divisors (39167184).

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

14996016 is a wasteful number, since it uses less digits than its factorization.

14996016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 14996016 is about 3872.4689798628. The cubic root of 14996016 is about 246.5993713021.

The spelling of 14996016 in words is "fourteen million, nine hundred ninety-six thousand, sixteen".