1416096 has 96 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 426240.

The previous prime is 1416073. The next prime is 1416097. The reversal of 1416096 is 6906141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1416097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9430 + ... + 9578.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2^1416096 is an apocalyptic number.

1416096 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 1416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

1416096 is an abundant number, since it is smaller than the sum of its proper divisors (3119904).

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

1416096 is a wasteful number, since it uses less digits than its factorization.

1416096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1416096 is about 1189.9983193265. The cubic root of 1416096 is about 112.2959858077.

It can be divided in two parts, 14 and 16096, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 1416096 in words is "one million, four hundred sixteen thousand, ninety-six".