7416 has 24 divisors (see below), whose sum is σ = 20280. Its totient is φ = 2448.

The previous prime is 7411. The next prime is 7417. The reversal of 7416 is 6147.

It can be divided in two parts, 741 and 6, that added together give a palindrome (747).

7416 = T_{39} + T_{40} + ... +
T_{46}.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7411) by changing a digit.

7416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (845).

2^{7416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140).

7416 is an abundant number, since it is smaller than the sum of its proper divisors (12864).

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

7416 is a wasteful number, since it uses less digits than its factorization.

7416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 7416 is about 86.1162005664. The cubic root of 7416 is about 19.5009861434.

The spelling of 7416 in words is "seven thousand, four hundred sixteen".

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