14976096 has 48 divisors (see below), whose sum is σ = 39869424. Its totient is φ = 4921344.

The previous prime is 14976089. The next prime is 14976103. The reversal of 14976096 is 69067941.

It is an interprime number because it is at equal distance from previous prime (14976089) and next prime (14976103).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5940 + ... + 8076.

It is an arithmetic number, because the mean of its divisors is an integer number (830613).

Almost surely, 2^14976096 is an apocalyptic number.

14976096 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 14976096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19934712).

14976096 is an abundant number, since it is smaller than the sum of its proper divisors (24893328).

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

14976096 is a wasteful number, since it uses less digits than its factorization.

14976096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 14976096 is about 3869.8961226369. The cubic root of 14976096 is about 246.4901325960.

It can be divided in two parts, 149 and 76096, that added together give a triangular number (76245 = T₃₉₀).

The spelling of 14976096 in words is "fourteen million, nine hundred seventy-six thousand, ninety-six".